Publication Information

{'id': 'https://openalex.org/W2265615614', 'doi': 'https://doi.org/10.48550/arxiv.1602.00645', 'title': 'Frobenius semisimplicity for convolution morphisms', 'display_name': 'Frobenius semisimplicity for convolution morphisms', 'publication_year': 2016, 'publication_date': '2016-01-01', 'ids': {'openalex': 'https://openalex.org/W2265615614', 'doi': 'https://doi.org/10.48550/arxiv.1602.00645', 'mag': '2265615614'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1602.00645', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': ['arxiv', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/1602.00645', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5043830848', 'display_name': 'Mark Andrea de Cataldo', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I59553526', 'display_name': 'Stony Brook University', 'ror': 'https://ror.org/05qghxh33', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I59553526']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Mark Andrea de Cataldo', 'raw_affiliation_strings': ['Department of Mathematics, Stony Brook University, Stony Brook, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Stony Brook University, Stony Brook, USA', 'institution_ids': ['https://openalex.org/I59553526']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5050985642', 'display_name': 'Thomas J. Haines', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I66946132', 'display_name': 'University of Maryland, College Park', 'ror': 'https://ror.org/047s2c258', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I66946132']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Thomas J. Haines', 'raw_affiliation_strings': ['Department of Mathematics, University of Maryland, College park, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, University of Maryland, College park, USA', 'institution_ids': ['https://openalex.org/I66946132']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5100361059', 'display_name': 'Li Li', 'orcid': 'https://orcid.org/0000-0001-9102-4232'}, 'institutions': [{'id': 'https://openalex.org/I177721651', 'display_name': 'Oakland University', 'ror': 'https://ror.org/01ythxj32', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I177721651']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Li Li', 'raw_affiliation_strings': ['Department of Mathematics and Statistics, Oakland University, Rochester, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics and Statistics, Oakland University, Rochester, USA', 'institution_ids': ['https://openalex.org/I177721651']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 3, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 66}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11680', 'display_name': 'Advanced Algebra and Geometry', 'score': 0.9998, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T11680', 'display_name': 'Advanced Algebra and Geometry', 'score': 0.9998, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9994, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T12649', 'display_name': 'Alkaloids: synthesis and pharmacology', 'score': 0.9719, 'subfield': {'id': 'https://openalex.org/subfields/3004', 'display_name': 'Pharmacology'}, 'field': {'id': 'https://openalex.org/fields/30', 'display_name': 'Pharmacology, Toxicology and Pharmaceutics'}, 'domain': {'id': 'https://openalex.org/domains/1', 'display_name': 'Life Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/morphism', 'display_name': 'Morphism', 'score': 0.8036249}, {'id': 'https://openalex.org/keywords/flag', 'display_name': 'Flag (linear algebra)', 'score': 0.51583284}, {'id': 'https://openalex.org/keywords/algebraically-closed-field', 'display_name': 'Algebraically closed field', 'score': 0.49655086}, {'id': 'https://openalex.org/keywords/convolution', 'display_name': 'Convolution (computer science)', 'score': 0.4263181}, {'id': 'https://openalex.org/keywords/intersection-theory', 'display_name': 'Intersection Theory', 'score': 0.41939157}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8654077}, {'id': 'https://openalex.org/C137212723', 'wikidata': 'https://www.wikidata.org/wiki/Q1948412', 'display_name': 'Morphism', 'level': 2, 'score': 0.8036249}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.66517866}, {'id': 'https://openalex.org/C2780990831', 'wikidata': 'https://www.wikidata.org/wiki/Q319141', 'display_name': 'Conjecture', 'level': 2, 'score': 0.5378423}, {'id': 'https://openalex.org/C2776730729', 'wikidata': 'https://www.wikidata.org/wiki/Q1392130', 'display_name': 'Flag (linear algebra)', 'level': 3, 'score': 0.51583284}, {'id': 'https://openalex.org/C92757383', 'wikidata': 'https://www.wikidata.org/wiki/Q382497', 'display_name': 'Affine transformation', 'level': 2, 'score': 0.5115279}, {'id': 'https://openalex.org/C77926391', 'wikidata': 'https://www.wikidata.org/wiki/Q603880', 'display_name': 'Finite field', 'level': 2, 'score': 0.497031}, {'id': 'https://openalex.org/C203701370', 'wikidata': 'https://www.wikidata.org/wiki/Q1047547', 'display_name': 'Algebraically closed field', 'level': 2, 'score': 0.49655086}, {'id': 'https://openalex.org/C108710211', 'wikidata': 'https://www.wikidata.org/wiki/Q11538', 'display_name': 'Mathematical proof', 'level': 2, 'score': 0.48481122}, {'id': 'https://openalex.org/C118712358', 'wikidata': 'https://www.wikidata.org/wiki/Q782566', 'display_name': 'Automorphism', 'level': 2, 'score': 0.46062842}, {'id': 'https://openalex.org/C115961682', 'wikidata': 'https://www.wikidata.org/wiki/Q860623', 'display_name': 'Image (mathematics)', 'level': 2, 'score': 0.45905483}, {'id': 'https://openalex.org/C9652623', 'wikidata': 'https://www.wikidata.org/wiki/Q190109', 'display_name': 'Field (mathematics)', 'level': 2, 'score': 0.44486362}, {'id': 'https://openalex.org/C45347329', 'wikidata': 'https://www.wikidata.org/wiki/Q5166604', 'display_name': 'Convolution (computer science)', 'level': 3, 'score': 0.4263181}, {'id': 'https://openalex.org/C77462122', 'wikidata': 'https://www.wikidata.org/wiki/Q15176852', 'display_name': 'Intersection theory', 'level': 5, 'score': 0.41939157}, {'id': 'https://openalex.org/C64543145', 'wikidata': 'https://www.wikidata.org/wiki/Q162942', 'display_name': 'Intersection (aeronautics)', 'level': 2, 'score': 0.41626728}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.40537244}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.29818755}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.13411513}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.10401058}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.05888918}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C119857082', 'wikidata': 'https://www.wikidata.org/wiki/Q2539', 'display_name': 'Machine learning', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C146978453', 'wikidata': 'https://www.wikidata.org/wiki/Q3798668', 'display_name': 'Aerospace engineering', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C50644808', 'wikidata': 'https://www.wikidata.org/wiki/Q192776', 'display_name': 'Artificial neural network', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C127413603', 'wikidata': 'https://www.wikidata.org/wiki/Q11023', 'display_name': 'Engineering', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C186219872', 'wikidata': 'https://www.wikidata.org/wiki/Q955889', 'display_name': 'Differential algebraic equation', 'level': 4, 'score': 0.0}, {'id': 'https://openalex.org/C51544822', 'wikidata': 'https://www.wikidata.org/wiki/Q465274', 'display_name': 'Ordinary differential equation', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C78045399', 'wikidata': 'https://www.wikidata.org/wiki/Q11214', 'display_name': 'Differential equation', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1602.00645', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/1602.00645', 'pdf_url': 'http://arxiv.org/pdf/1602.00645', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.1602.00645', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210145204', 'host_organization_name': 'DataCite', 'host_organization_lineage': ['https://openalex.org/I4210145204'], 'host_organization_lineage_names': ['DataCite'], 'type': 'metadata'}, 'license': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1602.00645', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W4394672624', 'https://openalex.org/W4248721425', 'https://openalex.org/W3175137310', 'https://openalex.org/W3139271019', 'https://openalex.org/W3034984450', 'https://openalex.org/W2963151310', 'https://openalex.org/W2695311495', 'https://openalex.org/W2583526987', 'https://openalex.org/W2324035390', 'https://openalex.org/W133348882'], 'abstract_inverted_index': {'This': [0], 'article': [1], 'concerns': [2], 'properties': [3], 'of': [4, 17, 32, 41, 53, 74, 78, 119, 122, 141, 144, 155, 168, 191, 194, 198, 208, 212, 216], 'mixed': [5], '$\\ell$-adic': [6], 'complexes': [7], 'on': [8, 57, 135, 176, 183], 'varieties': [9, 42, 98, 199], 'over': [10, 43, 82, 104, 200, 227], 'finite': [11, 45, 83, 105, 202], 'fields,': [12, 106], 'related': [13], 'to': [14, 159], 'the': [15, 18, 27, 33, 50, 54, 58, 75, 115, 136, 142, 148, 188, 192, 209, 213, 217, 222], 'action': [16], 'Frobenius': [19, 30, 64, 111], 'automorphism.': [20], 'We': [21, 47, 85, 125], 'establish': [22], 'a': [23, 38, 44, 71, 151, 171, 195, 201, 205], 'fiberwise': [24], 'criterion': [25], 'for': [26, 89, 99, 114, 129], 'semisimplicity': [28, 31, 112], 'and': [29, 63, 107, 164], 'direct': [34, 51, 206, 210], 'image': [35, 52, 193, 211], 'complex': [36, 56, 190, 215], 'under': [37], 'proper': [39, 196], 'morphism': [40], 'field.': [46, 232], 'conjecture': [48, 67, 88], 'that': [49, 70, 187], 'intersection': [55, 116, 189, 214], 'domain': [59], 'is': [60, 80, 133, 204], 'always': [61], 'semisimple': [62], 'semisimple;': [65], 'this': [66], 'would': [68], 'imply': [69], 'strong': [72], 'form': [73], 'decomposition': [76], 'theorem': [77], 'Beilinson-Bernstein-Deligne-Gabber': [79], 'valid': [81, 226], 'fields.': [84], 'prove': [86, 109], 'our': [87, 184], '(generalized)': [90], 'convolution': [91, 146], 'morphisms': [92], 'associated': [93], 'with': [94, 170], 'partial': [95, 160], 'affine': [96, 139, 161], 'flag': [97, 162], 'split': [100], 'connected': [101], 'reductive': [102], 'groups': [103, 118], 'we': [108], 'allied': [110], 'results': [113, 224], 'cohomology': [117], 'twisted': [120], 'products': [121], 'Schubert': [123], 'varieties.': [124], 'offer': [126], 'two': [127], 'proofs': [128, 181], 'these': [130], 'results:': [131], 'one': [132], 'based': [134], 'paving': [137], 'by': [138], 'spaces': [140], 'fibers': [143], 'certain': [145], 'morphisms,': [147], 'other': [149], 'involves': [150], 'new': [152], 'schematic': [153], 'theory': [154, 167], '"big': [156], 'cells"': [157], 'adapted': [158], 'varieties,': [163], 'combines': [165], "Deligne's": [166], 'weights': [169], 'suitable': [172, 220], 'contracting': [173], '$\\mathbb': [174], 'G_m$-action': [175], 'those': [177], 'big': [178], 'cells.': [179], 'Both': [180], 'rely': [182], 'general': [185], 'result': [186], 'map': [197], 'field': [203], 'summand': [207], 'domain.': [218], 'With': [219], 'reformulations,': [221], 'main': [223], 'are': [225], 'any': [228], 'algebraically': [229], 'closed': [230], 'ground': [231]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2265615614', 'counts_by_year': [], 'updated_date': '2024-12-13T02:14:41.138729', 'created_date': '2016-06-24'}