Publication Information

{'id': 'https://openalex.org/W3091828238', 'doi': None, 'title': 'Refined count for rational tropical curves in arbitrary dimension.', 'display_name': 'Refined count for rational tropical curves in arbitrary dimension.', 'publication_year': 2020, 'publication_date': '2020-10-12', 'ids': {'openalex': 'https://openalex.org/W3091828238', 'mag': '3091828238'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/2010.05777.pdf', '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': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': [], '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/A5030573943', 'display_name': 'Thomas Blomme', 'orcid': 'https://orcid.org/0000-0001-5881-4750'}, 'institutions': [{'id': 'https://openalex.org/I57825437', 'display_name': 'University of Neuchâtel', 'ror': 'https://ror.org/00vasag41', 'country_code': 'CH', 'type': 'education', 'lineage': ['https://openalex.org/I57825437']}], 'countries': ['CH'], 'is_corresponding': True, 'raw_author_name': 'Thomas Blomme', 'raw_affiliation_strings': ['Université de Neuchâtel, Neuchâtel, Switzerland'], 'affiliations': [{'raw_affiliation_string': 'Université de Neuchâtel, Neuchâtel, Switzerland', 'institution_ids': ['https://openalex.org/I57825437']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5030573943'], 'corresponding_institution_ids': ['https://openalex.org/I57825437'], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 2, 'citation_normalized_percentile': {'value': 0.621767, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 69, 'max': 73}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11435', 'display_name': 'Polynomial and algebraic computation', 'score': 0.9996, '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'}}, 'topics': [{'id': 'https://openalex.org/T11435', 'display_name': 'Polynomial and algebraic computation', 'score': 0.9996, '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'}}, {'id': 'https://openalex.org/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9935, '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/T11693', 'display_name': 'Cryptography and Residue Arithmetic', 'score': 0.9735, 'subfield': {'id': 'https://openalex.org/subfields/1710', 'display_name': 'Information Systems'}, '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/multiplicity', 'display_name': 'Multiplicity (mathematics)', 'score': 0.80315703}, {'id': 'https://openalex.org/keywords/statement', 'display_name': 'Statement (logic)', 'score': 0.4315889}], 'concepts': [{'id': 'https://openalex.org/C156004811', 'wikidata': 'https://www.wikidata.org/wiki/Q2228257', 'display_name': 'Multiplicity (mathematics)', 'level': 2, 'score': 0.80315703}, {'id': 'https://openalex.org/C33676613', 'wikidata': 'https://www.wikidata.org/wiki/Q13415176', 'display_name': 'Dimension (graph theory)', 'level': 2, 'score': 0.65294516}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.6503441}, {'id': 'https://openalex.org/C2777210771', 'wikidata': 'https://www.wikidata.org/wiki/Q4927124', 'display_name': 'Block (permutation group theory)', 'level': 2, 'score': 0.51394576}, {'id': 'https://openalex.org/C2777026412', 'wikidata': 'https://www.wikidata.org/wiki/Q2684591', 'display_name': 'Statement (logic)', 'level': 2, 'score': 0.4315889}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.41693646}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.37755212}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.3443134}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.18821585}, {'id': 'https://openalex.org/C17744445', 'wikidata': 'https://www.wikidata.org/wiki/Q36442', 'display_name': 'Political science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199539241', 'wikidata': 'https://www.wikidata.org/wiki/Q7748', 'display_name': 'Law', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/2010.05777.pdf', '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': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 24, 'referenced_works': ['https://openalex.org/W1488392152', 'https://openalex.org/W1495088152', 'https://openalex.org/W1669742711', 'https://openalex.org/W2022959959', 'https://openalex.org/W2029714233', 'https://openalex.org/W2048796854', 'https://openalex.org/W2072802583', 'https://openalex.org/W2252501747', 'https://openalex.org/W2329803218', 'https://openalex.org/W2800888187', 'https://openalex.org/W2904889158', 'https://openalex.org/W2917898671', 'https://openalex.org/W2962883478', 'https://openalex.org/W2963578111', 'https://openalex.org/W2964263217', 'https://openalex.org/W2996336969', 'https://openalex.org/W3002688612', 'https://openalex.org/W3040635048', 'https://openalex.org/W3099475296', 'https://openalex.org/W3100215086', 'https://openalex.org/W3103275120', 'https://openalex.org/W3106181011', 'https://openalex.org/W3119712285', 'https://openalex.org/W3201235712'], 'related_works': ['https://openalex.org/W85922473', 'https://openalex.org/W3207270817', 'https://openalex.org/W3181854622', 'https://openalex.org/W3109432384', 'https://openalex.org/W3040635048', 'https://openalex.org/W3016114194', 'https://openalex.org/W2996336969', 'https://openalex.org/W2953221064', 'https://openalex.org/W2952949123', 'https://openalex.org/W2950760879', 'https://openalex.org/W2949582563', 'https://openalex.org/W2904889158', 'https://openalex.org/W2902381520', 'https://openalex.org/W2329803218', 'https://openalex.org/W2252501747', 'https://openalex.org/W2196183037', 'https://openalex.org/W2076161163', 'https://openalex.org/W2057720700', 'https://openalex.org/W2040675639', 'https://openalex.org/W1963570319'], 'abstract_inverted_index': {'In': [0], 'this': [1, 48], 'paper': [2], 'we': [3], 'introduce': [4], 'a': [5], 'refined': [6, 18, 50], 'multiplicity': [7, 19], 'for': [8, 36], 'rational': [9, 40], 'tropical': [10, 41], 'curves': [11, 42], 'in': [12, 27, 43, 60], 'arbitrary': [13], 'dimension,': [14], 'which': [15], 'generalizes': [16], 'the': [17, 37, 55], 'introduced': [20], 'by': [21], 'F.': [22], 'Block': [23], 'and': [24], 'L.': [25], 'Gottsche': [26], 'arXiv:1407.2901': [28], '.': [29], 'We': [30], 'then': [31], 'prove': [32], 'an': [33], 'invariance': [34], 'statement': [35], 'count': [38], 'of': [39, 57], 'several': [44], 'enumerative': [45], 'problems': [46], 'using': [47], 'new': [49], 'multiplicity.': [51], 'This': [52], 'leads': [53], 'to': [54], 'definition': [56], 'Block-Gottsche': [58], 'polynomials': [59], 'any': [61], 'dimension.': [62]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3091828238', 'counts_by_year': [{'year': 2021, 'cited_by_count': 2}], 'updated_date': '2024-12-31T01:56:19.549817', 'created_date': '2020-10-15'}