Publication Information

{'id': 'https://openalex.org/W1942230071', 'doi': 'https://doi.org/10.1353/ajm.1996.0030', 'title': 'On the Complement of a Generic Curve in the Projective Plane', 'display_name': 'On the Complement of a Generic Curve in the Projective Plane', 'publication_year': 1996, 'publication_date': '1996-06-01', 'ids': {'openalex': 'https://openalex.org/W1942230071', 'doi': 'https://doi.org/10.1353/ajm.1996.0030', 'mag': '1942230071'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1353/ajm.1996.0030', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S114406506', 'display_name': 'American Journal of Mathematics', 'issn_l': '0002-9327', 'issn': ['0002-9327', '1080-6377'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315678', 'host_organization_name': 'Johns Hopkins University Press', 'host_organization_lineage': ['https://openalex.org/P4310315678', 'https://openalex.org/P4310316510'], 'host_organization_lineage_names': ['Johns Hopkins University Press', 'Johns Hopkins University'], '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/A5100885302', 'display_name': 'Geng Xu', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Geng Xu', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5100885302'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 10, 'citation_normalized_percentile': {'value': 0.613433, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 78, 'max': 79}, 'biblio': {'volume': '118', 'issue': '3', 'first_page': '611', 'last_page': '620'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9988, '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': 0.9988, '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/T12909', 'display_name': 'French Historical and Cultural Studies', 'score': 0.9346, 'subfield': {'id': 'https://openalex.org/subfields/1202', 'display_name': 'History'}, 'field': {'id': 'https://openalex.org/fields/12', 'display_name': 'Arts and Humanities'}, 'domain': {'id': 'https://openalex.org/domains/2', 'display_name': 'Social Sciences'}}, {'id': 'https://openalex.org/T11435', 'display_name': 'Polynomial and algebraic computation', 'score': 0.9314, '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/complement', 'display_name': 'Complement', 'score': 0.7812278}, {'id': 'https://openalex.org/keywords/real-projective-plane', 'display_name': 'Real projective plane', 'score': 0.7381842}, {'id': 'https://openalex.org/keywords/blocking-set', 'display_name': 'Blocking set', 'score': 0.6701611}, {'id': 'https://openalex.org/keywords/quartic-plane-curve', 'display_name': 'Quartic plane curve', 'score': 0.6271405}, {'id': 'https://openalex.org/keywords/twisted-cubic', 'display_name': 'Twisted cubic', 'score': 0.59608483}, {'id': 'https://openalex.org/keywords/line-at-infinity', 'display_name': 'Line at infinity', 'score': 0.53916854}, {'id': 'https://openalex.org/keywords/degree', 'display_name': 'Degree (music)', 'score': 0.48491055}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8330522}, {'id': 'https://openalex.org/C43809302', 'wikidata': 'https://www.wikidata.org/wiki/Q1060874', 'display_name': 'Plane curve', 'level': 2, 'score': 0.8046274}, {'id': 'https://openalex.org/C112313634', 'wikidata': 'https://www.wikidata.org/wiki/Q7886648', 'display_name': 'Complement (music)', 'level': 5, 'score': 0.7812278}, {'id': 'https://openalex.org/C37470923', 'wikidata': 'https://www.wikidata.org/wiki/Q633815', 'display_name': 'Real projective plane', 'level': 5, 'score': 0.7381842}, {'id': 'https://openalex.org/C39290043', 'wikidata': 'https://www.wikidata.org/wiki/Q1475760', 'display_name': 'Projective plane', 'level': 3, 'score': 0.73079073}, {'id': 'https://openalex.org/C56952292', 'wikidata': 'https://www.wikidata.org/wiki/Q17005980', 'display_name': 'Blocking set', 'level': 5, 'score': 0.6701611}, {'id': 'https://openalex.org/C84181032', 'wikidata': 'https://www.wikidata.org/wiki/Q1857574', 'display_name': 'Quartic plane curve', 'level': 3, 'score': 0.6271405}, {'id': 'https://openalex.org/C37500760', 'wikidata': 'https://www.wikidata.org/wiki/Q7858555', 'display_name': 'Twisted cubic', 'level': 5, 'score': 0.59608483}, {'id': 'https://openalex.org/C17825722', 'wikidata': 'https://www.wikidata.org/wiki/Q17285', 'display_name': 'Plane (geometry)', 'level': 2, 'score': 0.5788553}, {'id': 'https://openalex.org/C15751092', 'wikidata': 'https://www.wikidata.org/wiki/Q2130665', 'display_name': 'Line at infinity', 'level': 5, 'score': 0.53916854}, {'id': 'https://openalex.org/C64543145', 'wikidata': 'https://www.wikidata.org/wiki/Q162942', 'display_name': 'Intersection (aeronautics)', 'level': 2, 'score': 0.53081346}, {'id': 'https://openalex.org/C75280867', 'wikidata': 'https://www.wikidata.org/wiki/Q877775', 'display_name': 'Projective space', 'level': 3, 'score': 0.50858057}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.49789715}, {'id': 'https://openalex.org/C2775997480', 'wikidata': 'https://www.wikidata.org/wiki/Q586277', 'display_name': 'Degree (music)', 'level': 2, 'score': 0.48491055}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.34533548}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.3189401}, {'id': 'https://openalex.org/C177846678', 'wikidata': 'https://www.wikidata.org/wiki/Q1501864', 'display_name': 'Projective test', 'level': 2, 'score': 0.2894894}, {'id': 'https://openalex.org/C163434512', 'wikidata': 'https://www.wikidata.org/wiki/Q390741', 'display_name': 'Collineation', 'level': 4, 'score': 0.25805932}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.06318286}, {'id': 'https://openalex.org/C55493867', 'wikidata': 'https://www.wikidata.org/wiki/Q7094', 'display_name': 'Biochemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C188082640', 'wikidata': 'https://www.wikidata.org/wiki/Q1780899', 'display_name': 'Complementation', 'level': 4, 'score': 0.0}, {'id': 'https://openalex.org/C24890656', 'wikidata': 'https://www.wikidata.org/wiki/Q82811', 'display_name': 'Acoustics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C127413603', 'wikidata': 'https://www.wikidata.org/wiki/Q11023', 'display_name': 'Engineering', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C117220453', 'wikidata': 'https://www.wikidata.org/wiki/Q5172842', 'display_name': 'Correlation', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C127716648', 'wikidata': 'https://www.wikidata.org/wiki/Q104053', 'display_name': 'Phenotype', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C146978453', 'wikidata': 'https://www.wikidata.org/wiki/Q3798668', 'display_name': 'Aerospace engineering', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1353/ajm.1996.0030', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S114406506', 'display_name': 'American Journal of Mathematics', 'issn_l': '0002-9327', 'issn': ['0002-9327', '1080-6377'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315678', 'host_organization_name': 'Johns Hopkins University Press', 'host_organization_lineage': ['https://openalex.org/P4310315678', 'https://openalex.org/P4310316510'], 'host_organization_lineage_names': ['Johns Hopkins University Press', 'Johns Hopkins University'], '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': 8, 'referenced_works': ['https://openalex.org/W1515192744', 'https://openalex.org/W1679207110', 'https://openalex.org/W2014087443', 'https://openalex.org/W2036661527', 'https://openalex.org/W2073387776', 'https://openalex.org/W2318275391', 'https://openalex.org/W2346151899', 'https://openalex.org/W4299315999'], 'related_works': ['https://openalex.org/W3103210736', 'https://openalex.org/W3018646894', 'https://openalex.org/W2783053240', 'https://openalex.org/W2623568421', 'https://openalex.org/W2383347752', 'https://openalex.org/W2132605381', 'https://openalex.org/W2082219139', 'https://openalex.org/W1974211667', 'https://openalex.org/W1970976233', 'https://openalex.org/W1942230071'], 'abstract_inverted_index': {'Let': [0], 'C': [1, 34, 38, 94, 118, 132], 'be': [2], 'a': [3, 76, 96], 'very': [4, 97], 'generic': [5, 98], 'smooth': [6, 99], 'curve': [7, 24, 100, 126], 'of': [8, 63, 70, 72, 75, 82, 89, 101, 114, 117], 'degree': [9, 102], 'd': [10, 44, 55, 103], 'in': [11, 26, 106, 119], 'the': [12, 27, 36, 61, 68, 73, 90, 107, 112, 115, 120], 'complex': [13, 108], 'projective': [14, 28, 109, 121], 'plane.': [15], 'In': [16], 'this': [17, 50, 64], 'paper,': [18], 'we': [19, 85], 'show': [20], 'that': [21, 30], 'for': [22, 60], 'any': [23, 124], 'D': [25, 40, 127], 'plane': [29, 77, 122, 125], 'does': [31, 129], 'not': [32, 130], 'contain': [33, 131], ',': [35], 'set': [37], '∩': [39], 'contains': [41], 'at': [42], 'least': [43], '-': [45], '2': [46], 'distinct': [47], 'points.': [48], 'Moreover,': [49], 'bound': [51], 'is': [52, 95, 133], 'sharp': [53], 'when': [54], '≥': [56, 104], '3.': [57], 'Our': [58], 'motivation': [59], 'study': [62], 'problem': [65, 69], 'comes': [66], 'from': [67], 'hyperbolicity': [71], 'complement': [74, 116], 'curve.': [78], 'As': [79], 'an': [80], 'application': [81], 'our': [83], 'result,': [84], 'give': [86], 'another': [87], 'proof': [88], 'following': [91], 'fact:': [92], 'if': [93], '5': [105], 'plane,': [110], 'then': [111], 'intersection': [113], 'with': [123], 'which': [128], 'hyperbolic.': [134]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1942230071', 'counts_by_year': [{'year': 2017, 'cited_by_count': 1}], 'updated_date': '2024-12-13T13:41:56.105084', 'created_date': '2016-06-24'}