Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2083847906', 'doi': 'https://doi.org/10.1007/bf02549207', 'title': 'Degenerations of flag and Schubert varieties to toric varieties', 'display_name': 'Degenerations of flag and Schubert varieties to toric varieties', 'publication_year': 1996, 'publication_date': '1996-09-01', 'ids': {'openalex': 'https://openalex.org/W2083847906', 'doi': 'https://doi.org/10.1007/bf02549207', 'mag': '2083847906'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/bf02549207', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S121479258', 'display_name': 'Transformation Groups', 'issn_l': '1083-4362', 'issn': ['1083-4362', '1531-586X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320186', 'host_organization_name': 'Birkhäuser', 'host_organization_lineage': ['https://openalex.org/P4310320186', 'https://openalex.org/P4310319900', 'https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Birkhäuser', 'Springer Science+Business Media', 'Springer Nature'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5020544610', 'display_name': 'Nicolae Gonciulea', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I12912129', 'display_name': 'Northeastern University', 'ror': 'https://ror.org/04t5xt781', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I12912129']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'N. Gonciulea', 'raw_affiliation_strings': ['[Department of Mathematics, Northeastern University, Boston, USA]'], 'affiliations': [{'raw_affiliation_string': '[Department of Mathematics, Northeastern University, Boston, USA]', 'institution_ids': ['https://openalex.org/I12912129']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5060450628', 'display_name': 'V. Lakshmibai', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I12912129', 'display_name': 'Northeastern University', 'ror': 'https://ror.org/04t5xt781', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I12912129']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'V. Lakshmibai', 'raw_affiliation_strings': ['[Department of Mathematics, Northeastern University, Boston, USA]'], 'affiliations': [{'raw_affiliation_string': '[Department of Mathematics, Northeastern University, Boston, USA]', 'institution_ids': ['https://openalex.org/I12912129']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 2390, 'currency': 'EUR', 'value_usd': 2990, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 4.906, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 134, 'citation_normalized_percentile': {'value': 0.973123, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 97, 'max': 98}, 'biblio': {'volume': '1', 'issue': '3', 'first_page': '215', 'last_page': '248'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10948', 'display_name': 'Combinatorial Mathematics and Algebraic Combinatorics', 'score': 0.9994, 'subfield': {'id': 'https://openalex.org/subfields/2607', 'display_name': 'Discrete Mathematics and Combinatorics'}, '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/T10948', 'display_name': 'Combinatorial Mathematics and Algebraic Combinatorics', 'score': 0.9994, 'subfield': {'id': 'https://openalex.org/subfields/2607', 'display_name': 'Discrete Mathematics and Combinatorics'}, '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': 'Proofs of Langlands Conjectures for GL(n)', 'score': 0.9973, '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/T10287', 'display_name': 'Cluster Algebras and Triangulated Categories', 'score': 0.9966, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/flag', 'display_name': 'Flag (linear algebra)', 'score': 0.9090349}, {'id': 'https://openalex.org/keywords/schubert-variety', 'display_name': 'Schubert variety', 'score': 0.81138635}, {'id': 'https://openalex.org/keywords/schubert-calculus', 'display_name': 'Schubert calculus', 'score': 0.7758618}, {'id': 'https://openalex.org/keywords/schubert-polynomial', 'display_name': 'Schubert polynomial', 'score': 0.7383055}, {'id': 'https://openalex.org/keywords/toric-varieties', 'display_name': 'Toric Varieties', 'score': 0.517987}, {'id': 'https://openalex.org/keywords/toric-variety', 'display_name': 'Toric variety', 'score': 0.51262015}], 'concepts': [{'id': 'https://openalex.org/C2776730729', 'wikidata': 'https://www.wikidata.org/wiki/Q1392130', 'display_name': 'Flag (linear algebra)', 'level': 3, 'score': 0.9090349}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.88143975}, {'id': 'https://openalex.org/C47158899', 'wikidata': 'https://www.wikidata.org/wiki/Q7432938', 'display_name': 'Schubert variety', 'level': 2, 'score': 0.81138635}, {'id': 'https://openalex.org/C169843257', 'wikidata': 'https://www.wikidata.org/wiki/Q7432936', 'display_name': 'Schubert calculus', 'level': 3, 'score': 0.7758618}, {'id': 'https://openalex.org/C97912942', 'wikidata': 'https://www.wikidata.org/wiki/Q7432937', 'display_name': 'Schubert polynomial', 'level': 2, 'score': 0.7383055}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.57044375}, {'id': 'https://openalex.org/C5052557', 'wikidata': 'https://www.wikidata.org/wiki/Q1528306', 'display_name': 'Toric variety', 'level': 2, 'score': 0.51262015}, {'id': 'https://openalex.org/C72319582', 'wikidata': 'https://www.wikidata.org/wiki/Q584304', 'display_name': 'Degenerate energy levels', 'level': 2, 'score': 0.4553554}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.32670638}, {'id': 'https://openalex.org/C162929932', 'wikidata': 'https://www.wikidata.org/wiki/Q129638', 'display_name': 'Grassmannian', 'level': 2, 'score': 0.31230345}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/bf02549207', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S121479258', 'display_name': 'Transformation Groups', 'issn_l': '1083-4362', 'issn': ['1083-4362', '1531-586X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320186', 'host_organization_name': 'Birkhäuser', 'host_organization_lineage': ['https://openalex.org/P4310320186', 'https://openalex.org/P4310319900', 'https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Birkhäuser', 'Springer Science+Business Media', 'Springer Nature'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 34, 'referenced_works': ['https://openalex.org/W1495410784', 'https://openalex.org/W1503298285', 'https://openalex.org/W155377485', 'https://openalex.org/W1576341372', 'https://openalex.org/W178893740', 'https://openalex.org/W180941339', 'https://openalex.org/W1969010177', 'https://openalex.org/W1973318474', 'https://openalex.org/W1992760624', 'https://openalex.org/W1997619851', 'https://openalex.org/W2013404833', 'https://openalex.org/W2015253075', 'https://openalex.org/W2023770900', 'https://openalex.org/W2034410660', 'https://openalex.org/W2071142862', 'https://openalex.org/W2072583682', 'https://openalex.org/W2076353924', 'https://openalex.org/W2085073037', 'https://openalex.org/W2090519116', 'https://openalex.org/W2158119563', 'https://openalex.org/W2319466955', 'https://openalex.org/W2536537110', 'https://openalex.org/W2925061142', 'https://openalex.org/W3022055031', 'https://openalex.org/W3023278908', 'https://openalex.org/W3037209219', 'https://openalex.org/W4206077821', 'https://openalex.org/W4213261054', 'https://openalex.org/W4234426551', 'https://openalex.org/W4244082200', 'https://openalex.org/W4245313742', 'https://openalex.org/W4248844283', 'https://openalex.org/W4285719527', 'https://openalex.org/W992149161'], 'related_works': ['https://openalex.org/W4390897454', 'https://openalex.org/W4297579280', 'https://openalex.org/W4292778777', 'https://openalex.org/W4223646790', 'https://openalex.org/W3105336926', 'https://openalex.org/W2971190389', 'https://openalex.org/W2952993214', 'https://openalex.org/W2157830347', 'https://openalex.org/W2030296624', 'https://openalex.org/W1609158085'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2083847906', 'counts_by_year': [{'year': 2024, 'cited_by_count': 4}, {'year': 2023, 'cited_by_count': 1}, {'year': 2022, 'cited_by_count': 10}, {'year': 2021, 'cited_by_count': 14}, {'year': 2020, 'cited_by_count': 12}, {'year': 2019, 'cited_by_count': 6}, {'year': 2018, 'cited_by_count': 6}, {'year': 2017, 'cited_by_count': 8}, {'year': 2016, 'cited_by_count': 7}, {'year': 2015, 'cited_by_count': 5}, {'year': 2014, 'cited_by_count': 4}, {'year': 2013, 'cited_by_count': 3}, {'year': 2012, 'cited_by_count': 11}], 'updated_date': '2024-09-13T03:51:41.103298', 'created_date': '2016-06-24'}