Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W3105510401', 'doi': 'https://doi.org/10.1112/plms.12294', 'title': 'On residual categories for Grassmannians', 'display_name': 'On residual categories for Grassmannians', 'publication_year': 2019, 'publication_date': '2019-09-12', 'ids': {'openalex': 'https://openalex.org/W3105510401', 'doi': 'https://doi.org/10.1112/plms.12294', 'mag': '3105510401'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1112/plms.12294', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2898222998', 'display_name': 'Proceedings of the London Mathematical Society', 'issn_l': '0024-6115', 'issn': ['0024-6115', '1460-244X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320595', 'host_organization_name': 'Wiley', 'host_organization_lineage': ['https://openalex.org/P4310320595'], 'host_organization_lineage_names': ['Wiley'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'crossref', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/pdf/1802.08097', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5103860336', 'display_name': 'Alexander Kuznetsov', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I2801160905', 'display_name': 'Steklov Mathematical Institute', 'ror': 'https://ror.org/03zeg8w71', 'country_code': 'RU', 'type': 'facility', 'lineage': ['https://openalex.org/I1313323035', 'https://openalex.org/I2801160905', 'https://openalex.org/I4210124601']}, {'id': 'https://openalex.org/I1313323035', 'display_name': 'Russian Academy of Sciences', 'ror': 'https://ror.org/05qrfxd25', 'country_code': 'RU', 'type': 'government', 'lineage': ['https://openalex.org/I1313323035']}, {'id': 'https://openalex.org/I4210089014', 'display_name': 'Interdisciplinary Scientific Center J.-V. Poncelet', 'ror': 'https://ror.org/0073twa91', 'country_code': 'RU', 'type': 'facility', 'lineage': ['https://openalex.org/I4210089014']}, {'id': 'https://openalex.org/I118501908', 'display_name': 'National Research University Higher School of Economics', 'ror': 'https://ror.org/055f7t516', 'country_code': 'RU', 'type': 'education', 'lineage': ['https://openalex.org/I118501908']}], 'countries': ['RU'], 'is_corresponding': True, 'raw_author_name': 'Alexander Kuznetsov', 'raw_affiliation_strings': ['Algebraic Geometry Section, Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkin St., Moscow, 119991 Russia', 'Interdisciplinary Scientific Center J.-V. Poncelet (CNRS UMI 2615), 11 Bolshoy Vlasyevskiy Pereulok, Moscow, 119002 Russia', 'Laboratory of Algebraic Geometry, National Research University Higher School of Economics, 6 Usacheva str., Moscow, 119048 Russia'], 'affiliations': [{'raw_affiliation_string': 'Algebraic Geometry Section, Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkin St., Moscow, 119991 Russia', 'institution_ids': ['https://openalex.org/I2801160905', 'https://openalex.org/I1313323035']}, {'raw_affiliation_string': 'Interdisciplinary Scientific Center J.-V. Poncelet (CNRS UMI 2615), 11 Bolshoy Vlasyevskiy Pereulok, Moscow, 119002 Russia', 'institution_ids': ['https://openalex.org/I4210089014']}, {'raw_affiliation_string': 'Laboratory of Algebraic Geometry, National Research University Higher School of Economics, 6 Usacheva str., Moscow, 119048 Russia', 'institution_ids': ['https://openalex.org/I118501908']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5007040627', 'display_name': 'Maxim Smirnov', 'orcid': 'https://orcid.org/0000-0003-4178-2523'}, 'institutions': [{'id': 'https://openalex.org/I179225836', 'display_name': 'University of Augsburg', 'ror': 'https://ror.org/03p14d497', 'country_code': 'DE', 'type': 'education', 'lineage': ['https://openalex.org/I179225836']}], 'countries': ['DE'], 'is_corresponding': True, 'raw_author_name': 'Maxim Smirnov', 'raw_affiliation_strings': ['Institut für MathematikUniversität AugsburgUniversitätsstr. 14 86159 Augsburg Germany'], 'affiliations': [{'raw_affiliation_string': 'Institut für MathematikUniversität AugsburgUniversitätsstr. 14 86159 Augsburg Germany', 'institution_ids': ['https://openalex.org/I179225836']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 5, 'corresponding_author_ids': ['https://openalex.org/A5103860336', 'https://openalex.org/A5007040627'], 'corresponding_institution_ids': ['https://openalex.org/I2801160905', 'https://openalex.org/I1313323035', 'https://openalex.org/I4210089014', 'https://openalex.org/I118501908', 'https://openalex.org/I179225836'], 'apc_list': {'value': 4430, 'currency': 'USD', 'value_usd': 4430, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 5.166, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 33, 'citation_normalized_percentile': {'value': 0.999807, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 94, 'max': 95}, 'biblio': {'volume': '120', 'issue': '5', 'first_page': '617', 'last_page': '641'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.9999, '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'}}, 'topics': [{'id': 'https://openalex.org/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.9999, '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/T11673', 'display_name': 'Advanced Topics in Algebra', 'score': 0.9997, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, '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/T10248', 'display_name': 'Nonlinear Waves and Solitons', 'score': 0.9997, 'subfield': {'id': 'https://openalex.org/subfields/3109', 'display_name': 'Statistical and Nonlinear Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/section', 'display_name': 'Section (typography)', 'score': 0.5554058}, {'id': 'https://openalex.org/keywords/maxim', 'display_name': 'Maxim', 'score': 0.5392865}, {'id': 'https://openalex.org/keywords/technical-university', 'display_name': 'Technical university', 'score': 0.43304256}], 'concepts': [{'id': 'https://openalex.org/C2780129039', 'wikidata': 'https://www.wikidata.org/wiki/Q1931107', 'display_name': 'Section (typography)', 'level': 2, 'score': 0.5554058}, {'id': 'https://openalex.org/C2775955634', 'wikidata': 'https://www.wikidata.org/wiki/Q1374354', 'display_name': 'Maxim', 'level': 2, 'score': 0.5392865}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.53787565}, {'id': 'https://openalex.org/C2986411436', 'wikidata': 'https://www.wikidata.org/wiki/Q1371037', 'display_name': 'Technical university', 'level': 2, 'score': 0.43304256}, {'id': 'https://openalex.org/C161191863', 'wikidata': 'https://www.wikidata.org/wiki/Q199655', 'display_name': 'Library science', 'level': 1, 'score': 0.34625953}, {'id': 'https://openalex.org/C15708023', 'wikidata': 'https://www.wikidata.org/wiki/Q80083', 'display_name': 'Humanities', 'level': 1, 'score': 0.33186132}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.21884835}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.13418281}, {'id': 'https://openalex.org/C111472728', 'wikidata': 'https://www.wikidata.org/wiki/Q9471', 'display_name': 'Epistemology', 'level': 1, 'score': 0.061606437}, {'id': 'https://openalex.org/C111919701', 'wikidata': 'https://www.wikidata.org/wiki/Q9135', 'display_name': 'Operating system', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 5, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1112/plms.12294', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2898222998', 'display_name': 'Proceedings of the London Mathematical Society', 'issn_l': '0024-6115', 'issn': ['0024-6115', '1460-244X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320595', 'host_organization_name': 'Wiley', 'host_organization_lineage': ['https://openalex.org/P4310320595'], 'host_organization_lineage_names': ['Wiley'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1802.08097', 'pdf_url': 'https://arxiv.org/pdf/1802.08097', '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': True, 'landing_page_url': 'https://hdl.handle.net/21.11116/0000-0005-915F-D', 'pdf_url': 'https://pure.mpg.de/pubman/item/item_3189872_1/component/file_3189873/arXiv%3A1802.08097.pdf', 'source': {'id': 'https://openalex.org/S4306400655', 'display_name': 'MPG.PuRe (Max Planck Society)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I149899117', 'host_organization_name': 'Max Planck Society', 'host_organization_lineage': ['https://openalex.org/I149899117'], 'host_organization_lineage_names': ['Max Planck Society'], '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': 'https://arxiv.org/abs/2212.01580', 'pdf_url': 'https://arxiv.org/pdf/2212.01580', '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.1802.08097', '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/1802.08097', 'pdf_url': 'https://arxiv.org/pdf/1802.08097', '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}, 'sustainable_development_goals': [], 'grants': [{'funder': 'https://openalex.org/F4320334801', 'funder_display_name': 'Russian Academy of Sciences', 'award_id': 'PRAS‐18‐01'}], 'datasets': [], 'versions': ['https://openalex.org/W2789198898', 'https://openalex.org/W3105510401'], 'referenced_works_count': 30, 'referenced_works': ['https://openalex.org/W1528558908', 'https://openalex.org/W1973321673', 'https://openalex.org/W1994942508', 'https://openalex.org/W1999023209', 'https://openalex.org/W2028514560', 'https://openalex.org/W2049271832', 'https://openalex.org/W2063095796', 'https://openalex.org/W2073163485', 'https://openalex.org/W2094424906', 'https://openalex.org/W2094760423', 'https://openalex.org/W2154812374', 'https://openalex.org/W2487893106', 'https://openalex.org/W2610972205', 'https://openalex.org/W2776628391', 'https://openalex.org/W2901270584', 'https://openalex.org/W2918466505', 'https://openalex.org/W2963137724', 'https://openalex.org/W2963984844', 'https://openalex.org/W2964028506', 'https://openalex.org/W2964150537', 'https://openalex.org/W3098544102', 'https://openalex.org/W3101112621', 'https://openalex.org/W3104731221', 'https://openalex.org/W3105933416', 'https://openalex.org/W4240060697', 'https://openalex.org/W4251659063', 'https://openalex.org/W4289378360', 'https://openalex.org/W4377892433', 'https://openalex.org/W587747628', 'https://openalex.org/W8598270'], 'related_works': ['https://openalex.org/W4391375266', 'https://openalex.org/W4226185066', 'https://openalex.org/W3198816161', 'https://openalex.org/W3042309825', 'https://openalex.org/W2948217939', 'https://openalex.org/W2484666884', 'https://openalex.org/W2386616035', 'https://openalex.org/W2379488364', 'https://openalex.org/W2361882161', 'https://openalex.org/W2147593501'], 'abstract_inverted_index': {'We': [0, 50], 'define': [1], 'and': [2], 'discuss': [3], 'some': [4], 'general': [5], 'properties': [6], 'of': [7, 10, 19, 23, 63], 'residual': [8, 34], 'categories': [9], 'Lefschetz': [11, 39], 'decompositions': [12], 'in': [13], 'triangulated': [14], 'categories.': [15], 'In': [16], 'the': [17, 20, 27, 33], 'case': [18], 'derived': [21], 'category': [22, 35], 'coherent': [24], 'sheaves': [25], 'on': [26], 'Grassmannian': [28], '$\\text{G}(k,n)$': [29], 'we': [30, 71], 'conjecture': [31, 53], 'that': [32], 'associated': [36], 'with': [37], "Fonarev's": [38, 64], 'exceptional': [40, 48], 'collection': [41, 65], 'is': [42], 'generated': [43], 'by': [44], 'a': [45, 58], 'completely': [46], 'orthogonal': [47], 'collection.': [49], 'prove': [51], 'this': [52, 73], 'for': [54, 67], '$k': [55], '=': [56, 69], 'p$,': [57], 'prime': [59], 'number,': [60], 'modulo': [61], 'completeness': [62], '(and': [66], '$p': [68], '3$': [70], 'check': [72], 'completeness).': [74]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3105510401', 'counts_by_year': [{'year': 2024, 'cited_by_count': 2}, {'year': 2023, 'cited_by_count': 6}, {'year': 2022, 'cited_by_count': 2}, {'year': 2021, 'cited_by_count': 7}, {'year': 2020, 'cited_by_count': 10}, {'year': 2019, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 3}, {'year': 2017, 'cited_by_count': 1}], 'updated_date': '2024-12-17T19:02:17.250570', 'created_date': '2020-11-23'}