Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W1515697173', 'doi': 'https://doi.org/10.5802/aif.2461', 'title': 'Decomposition numbers for perverse sheaves', 'display_name': 'Decomposition numbers for perverse sheaves', 'publication_year': 2009, 'publication_date': '2009-01-01', 'ids': {'openalex': 'https://openalex.org/W1515697173', 'doi': 'https://doi.org/10.5802/aif.2461', 'mag': '1515697173'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.5802/aif.2461', 'pdf_url': 'https://aif.centre-mersenne.org/item/10.5802/aif.2461.pdf', 'source': {'id': 'https://openalex.org/S78118978', 'display_name': 'Annales de l’institut Fourier', 'issn_l': '0373-0956', 'issn': ['0373-0956', '1777-5310'], 'is_oa': True, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4323830084', 'host_organization_name': 'Association of the Annals of the Fourier Institute', 'host_organization_lineage': ['https://openalex.org/P4323830084'], 'host_organization_lineage_names': ['Association of the Annals of the Fourier Institute'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'crossref', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://aif.centre-mersenne.org/item/10.5802/aif.2461.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5047203554', 'display_name': 'Daniel Juteau', 'orcid': 'https://orcid.org/0000-0002-3762-1391'}, 'institutions': [{'id': 'https://openalex.org/I4387155825', 'display_name': 'Laboratoire de Mathématiques Nicolas Oresme', 'ror': 'https://ror.org/03jm2hc44', 'country_code': None, 'type': 'facility', 'lineage': ['https://openalex.org/I1294671590', 'https://openalex.org/I4210105918', 'https://openalex.org/I4387155825', 'https://openalex.org/I98702875']}, {'id': 'https://openalex.org/I4210155549', 'display_name': 'Laboratoire de Mathématiques', 'ror': 'https://ror.org/05sd5r855', 'country_code': 'FR', 'type': 'facility', 'lineage': ['https://openalex.org/I1294671590', 'https://openalex.org/I198244214', 'https://openalex.org/I4210141950', 'https://openalex.org/I4210155549']}], 'countries': ['FR'], 'is_corresponding': True, 'raw_author_name': 'Daniel Juteau', 'raw_affiliation_strings': ['Laboratoire de Mathématiques Nicolas Oresme'], 'affiliations': [{'raw_affiliation_string': 'Laboratoire de Mathématiques Nicolas Oresme', 'institution_ids': ['https://openalex.org/I4387155825', 'https://openalex.org/I4210155549']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': ['https://openalex.org/A5047203554'], 'corresponding_institution_ids': ['https://openalex.org/I4387155825', 'https://openalex.org/I4210155549'], 'apc_list': None, 'apc_paid': None, 'fwci': 1.156, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 39, 'citation_normalized_percentile': {'value': 0.966548, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 93, 'max': 94}, 'biblio': {'volume': '59', 'issue': '3', 'first_page': '1177', 'last_page': '1229'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9997, '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/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9997, '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/T11680', 'display_name': 'Advanced Algebra and Geometry', 'score': 0.9983, '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/T10896', 'display_name': 'Homotopy and Cohomology in Algebraic Topology', 'score': 0.9975, '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'}}], 'keywords': [], 'concepts': [{'id': 'https://openalex.org/C142362112', 'wikidata': 'https://www.wikidata.org/wiki/Q735', 'display_name': 'Art', 'level': 0, 'score': 0.46000865}, {'id': 'https://openalex.org/C15708023', 'wikidata': 'https://www.wikidata.org/wiki/Q80083', 'display_name': 'Humanities', 'level': 1, 'score': 0.44819725}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.3475343}, {'id': 'https://openalex.org/C144024400', 'wikidata': 'https://www.wikidata.org/wiki/Q21201', 'display_name': 'Sociology', 'level': 0, 'score': 0.33317536}], 'mesh': [], 'locations_count': 8, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.5802/aif.2461', 'pdf_url': 'https://aif.centre-mersenne.org/item/10.5802/aif.2461.pdf', 'source': {'id': 'https://openalex.org/S78118978', 'display_name': 'Annales de l’institut Fourier', 'issn_l': '0373-0956', 'issn': ['0373-0956', '1777-5310'], 'is_oa': True, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4323830084', 'host_organization_name': 'Association of the Annals of the Fourier Institute', 'host_organization_lineage': ['https://openalex.org/P4323830084'], 'host_organization_lineage_names': ['Association of the Annals of the Fourier Institute'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/0803.2326', 'pdf_url': 'http://arxiv.org/pdf/0803.2326', '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://hal.science/hal-00354930', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306402512', 'display_name': 'HAL (Le Centre pour la Communication Scientifique Directe)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1294671590', 'host_organization_name': 'Centre National de la Recherche Scientifique', 'host_organization_lineage': ['https://openalex.org/I1294671590'], 'host_organization_lineage_names': ['Centre National de la Recherche Scientifique'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://hal.archives-ouvertes.fr/hal-00354930', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306402512', 'display_name': 'HAL (Le Centre pour la Communication Scientifique Directe)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1294671590', 'host_organization_name': 'Centre National de la Recherche Scientifique', 'host_organization_lineage': ['https://openalex.org/I1294671590'], 'host_organization_lineage_names': ['Centre National de la Recherche Scientifique'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://www.numdam.org/articles/10.5802/aif.2461/', 'pdf_url': 'http://www.numdam.org/item/10.5802/aif.2461.pdf', 'source': {'id': 'https://openalex.org/S4306402264', 'display_name': 'French digital mathematics library (Numdam)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I70900168', 'host_organization_name': 'Université Savoie Mont Blanc', 'host_organization_lineage': ['https://openalex.org/I70900168'], 'host_organization_lineage_names': ['Université Savoie Mont Blanc'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/0803.2326', 'pdf_url': 'https://arxiv.org/pdf/0803.2326', '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': None, 'pdf_url': 'https://arxiv.org/pdf/0803.2326v1.pdf', '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.0803.2326', '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://doi.org/10.5802/aif.2461', 'pdf_url': 'https://aif.centre-mersenne.org/item/10.5802/aif.2461.pdf', 'source': {'id': 'https://openalex.org/S78118978', 'display_name': 'Annales de l’institut Fourier', 'issn_l': '0373-0956', 'issn': ['0373-0956', '1777-5310'], 'is_oa': True, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4323830084', 'host_organization_name': 'Association of the Annals of the Fourier Institute', 'host_organization_lineage': ['https://openalex.org/P4323830084'], 'host_organization_lineage_names': ['Association of the Annals of the Fourier Institute'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': ['https://openalex.org/W1515697173', 'https://openalex.org/W3123518097'], 'referenced_works_count': 16, 'referenced_works': ['https://openalex.org/W100521575', 'https://openalex.org/W1564406588', 'https://openalex.org/W1587044235', 'https://openalex.org/W1735262632', 'https://openalex.org/W1986529541', 'https://openalex.org/W2001904056', 'https://openalex.org/W2056647821', 'https://openalex.org/W2070920936', 'https://openalex.org/W2087736116', 'https://openalex.org/W2093151043', 'https://openalex.org/W2108204274', 'https://openalex.org/W2627046575', 'https://openalex.org/W3141871949', 'https://openalex.org/W4230832653', 'https://openalex.org/W4298250411', 'https://openalex.org/W583101597'], 'related_works': ['https://openalex.org/W4391375266', 'https://openalex.org/W4387497383', 'https://openalex.org/W3183948672', 'https://openalex.org/W3173606202', 'https://openalex.org/W3110381201', 'https://openalex.org/W2948807893', 'https://openalex.org/W2778153218', 'https://openalex.org/W2758277628', 'https://openalex.org/W2748952813', 'https://openalex.org/W1531601525'], 'abstract_inverted_index': {'The': [0], 'purpose': [1], 'of': [2, 12, 43, 68, 84], 'this': [3], 'article': [4], 'is': [5], 'to': [6, 15, 19, 26, 57], 'set': [7], 'foundations': [8], 'for': [9, 33, 40, 61, 75], 'decomposition': [10], 'numbers': [11], 'perverse': [13], 'sheaves,': [14], 'give': [16], 'some': [17], 'methods': [18], 'calculate': [20], 'them': [21, 28], 'in': [22, 30, 48], 'simple': [23, 35, 50], 'cases,': [24], 'and': [25, 39, 74], 'compute': [27], 'concretely': [29], 'two': [31], 'situations:': [32], 'a': [34, 49], '(Kleinian)': [36], 'surface': [37], 'singularity,': [38], 'the': [41, 44, 65, 69, 81, 85], 'closure': [42], 'minimal': [45], 'non-trivial': [46], 'orbit': [47], 'Lie': [51, 72], 'algebra.': [52], 'This': [53], 'work': [54], 'has': [55], 'applications': [56], 'modular': [58], 'representation': [59], 'theory,': [60], 'Weyl': [62], 'groups': [63], 'using': [64, 80], 'nilpotent': [66], 'cone': [67], 'corresponding': [70], 'semisimple': [71], 'algebra,': [73], 'reductive': [76], 'algebraic': [77], 'group': [78], 'schemes': [79], 'affine': [82], 'Grassmannian': [83], 'Langlands': [86], 'dual': [87], 'group.': [88]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1515697173', 'counts_by_year': [{'year': 2023, 'cited_by_count': 2}, {'year': 2022, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 4}, {'year': 2020, 'cited_by_count': 2}, {'year': 2018, 'cited_by_count': 2}, {'year': 2017, 'cited_by_count': 4}, {'year': 2016, 'cited_by_count': 4}, {'year': 2015, 'cited_by_count': 4}, {'year': 2014, 'cited_by_count': 5}, {'year': 2013, 'cited_by_count': 3}], 'updated_date': '2024-12-15T12:19:05.363754', 'created_date': '2016-06-24'}