Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W1536409494', 'doi': 'https://doi.org/10.1007/978-1-4612-4044-0', 'title': 'Combinatorial Convexity and Algebraic Geometry', 'display_name': 'Combinatorial Convexity and Algebraic Geometry', 'publication_year': 1996, 'publication_date': '1996-01-01', 'ids': {'openalex': 'https://openalex.org/W1536409494', 'doi': 'https://doi.org/10.1007/978-1-4612-4044-0', 'mag': '1536409494'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-1-4612-4044-0', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210201401', 'display_name': 'Graduate texts in mathematics', 'issn_l': '0072-5285', 'issn': ['0072-5285', '2197-5612'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'book series'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book', 'type_crossref': 'book', '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/A5113581774', 'display_name': 'Günter Ewald', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I904495901', 'display_name': 'Ruhr University Bochum', 'ror': 'https://ror.org/04tsk2644', 'country_code': 'DE', 'type': 'education', 'lineage': ['https://openalex.org/I904495901']}], 'countries': ['DE'], 'is_corresponding': True, 'raw_author_name': 'Günter Ewald', 'raw_affiliation_strings': ['Fakultät für Mathematik, Ruhr-Universität Bochum, Bochum, Germany'], 'affiliations': [{'raw_affiliation_string': 'Fakultät für Mathematik, Ruhr-Universität Bochum, Bochum, Germany', 'institution_ids': ['https://openalex.org/I904495901']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5113581774'], 'corresponding_institution_ids': ['https://openalex.org/I904495901'], 'apc_list': None, 'apc_paid': None, 'fwci': 5.281, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 573, 'citation_normalized_percentile': {'value': 0.983333, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 99, 'max': 100}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12504', 'display_name': 'Mathematics and Applications', 'score': 0.953, '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/T12504', 'display_name': 'Mathematics and Applications', 'score': 0.953, '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/T12541', 'display_name': 'Graph Labeling and Dimension Problems', 'score': 0.9005, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/convexity', 'display_name': 'Convexity', 'score': 0.7048651}, {'id': 'https://openalex.org/keywords/discrete-geometry', 'display_name': 'Discrete Geometry', 'score': 0.46513692}], 'concepts': [{'id': 'https://openalex.org/C72134830', 'wikidata': 'https://www.wikidata.org/wiki/Q5166524', 'display_name': 'Convexity', 'level': 2, 'score': 0.7048651}, {'id': 'https://openalex.org/C68363185', 'wikidata': 'https://www.wikidata.org/wiki/Q180969', 'display_name': 'Algebraic geometry', 'level': 2, 'score': 0.56791157}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5302486}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.52364016}, {'id': 'https://openalex.org/C4107886', 'wikidata': 'https://www.wikidata.org/wiki/Q906377', 'display_name': 'Discrete geometry', 'level': 2, 'score': 0.46513692}, {'id': 'https://openalex.org/C9376300', 'wikidata': 'https://www.wikidata.org/wiki/Q168817', 'display_name': 'Algebraic number', 'level': 2, 'score': 0.46044147}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.40957868}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.2545895}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.09506607}, {'id': 'https://openalex.org/C106159729', 'wikidata': 'https://www.wikidata.org/wiki/Q2294553', 'display_name': 'Financial economics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C162324750', 'wikidata': 'https://www.wikidata.org/wiki/Q8134', 'display_name': 'Economics', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-1-4612-4044-0', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210201401', 'display_name': 'Graduate texts in mathematics', 'issn_l': '0072-5285', 'issn': ['0072-5285', '2197-5612'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'book series'}, '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': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W783893852', 'https://openalex.org/W4205591867', 'https://openalex.org/W3103693455', 'https://openalex.org/W3018072601', 'https://openalex.org/W2385292680', 'https://openalex.org/W2164571009', 'https://openalex.org/W2099522902', 'https://openalex.org/W2071552008', 'https://openalex.org/W2024069909', 'https://openalex.org/W2013589960'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1536409494', 'counts_by_year': [{'year': 2024, 'cited_by_count': 6}, {'year': 2023, 'cited_by_count': 10}, {'year': 2022, 'cited_by_count': 15}, {'year': 2021, 'cited_by_count': 17}, {'year': 2020, 'cited_by_count': 27}, {'year': 2019, 'cited_by_count': 23}, {'year': 2018, 'cited_by_count': 18}, {'year': 2017, 'cited_by_count': 15}, {'year': 2016, 'cited_by_count': 20}, {'year': 2015, 'cited_by_count': 44}, {'year': 2014, 'cited_by_count': 23}, {'year': 2013, 'cited_by_count': 20}, {'year': 2012, 'cited_by_count': 22}], 'updated_date': '2024-12-28T18:01:29.469469', 'created_date': '2016-06-24'}