Counting rational points on quartic del Pezzo surfaces with a rational conic

T. D. Browning; Efthymios Sofos
{'id': 'https://openalex.org/W3101164122', 'doi': 'https://doi.org/10.1007/s00208-018-1716-6', 'title': 'Counting rational points on quartic del Pezzo surfaces with a rational conic', 'display_name': 'Counting rational points on quartic del Pezzo surfaces with a rational conic', 'publication_year': 2018, 'publication_date': '2018-07-13', 'ids': {'openalex': 'https://openalex.org/W3101164122', 'doi': 'https://doi.org/10.1007/s00208-018-1716-6', 'mag': '3101164122'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/s00208-018-1716-6', 'pdf_url': 'https://link.springer.com/content/pdf/10.1007/s00208-018-1716-6.pdf', 'source': {'id': 'https://openalex.org/S192217950', 'display_name': 'Mathematische Annalen', 'issn_l': '0025-5831', 'issn': ['0025-5831', '1432-1807'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, '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': 'journal'}, 'license': 'cc-by', 'license_id': 'https://openalex.org/licenses/cc-by', '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': 'hybrid', 'oa_url': 'https://link.springer.com/content/pdf/10.1007/s00208-018-1716-6.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5071312320', 'display_name': 'T. D. Browning', 'orcid': 'https://orcid.org/0000-0002-8314-0177'}, 'institutions': [{'id': 'https://openalex.org/I36234482', 'display_name': 'University of Bristol', 'ror': 'https://ror.org/0524sp257', 'country_code': 'GB', 'type': 'education', 'lineage': ['https://openalex.org/I36234482']}], 'countries': ['GB'], 'is_corresponding': False, 'raw_author_name': 'T. D. Browning', 'raw_affiliation_strings': ['School of Mathematics, University of Bristol, Bristol, BS8 1TW, UK'], 'affiliations': [{'raw_affiliation_string': 'School of Mathematics, University of Bristol, Bristol, BS8 1TW, UK', 'institution_ids': ['https://openalex.org/I36234482']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5058123841', 'display_name': 'Efthymios Sofos', 'orcid': 'https://orcid.org/0000-0001-9962-0733'}, 'institutions': [{'id': 'https://openalex.org/I4210119712', 'display_name': 'Max Planck Institute for Mathematics', 'ror': 'https://ror.org/02dh8ja68', 'country_code': 'DE', 'type': 'facility', 'lineage': ['https://openalex.org/I149899117', 'https://openalex.org/I4210119712']}], 'countries': ['DE'], 'is_corresponding': True, 'raw_author_name': 'E. Sofos', 'raw_affiliation_strings': ['Max Planck Institute for Mathematics, Vivatgasse 7, 53111, Bonn, Germany'], 'affiliations': [{'raw_affiliation_string': 'Max Planck Institute for Mathematics, Vivatgasse 7, 53111, Bonn, Germany', 'institution_ids': ['https://openalex.org/I4210119712']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 2, 'corresponding_author_ids': ['https://openalex.org/A5058123841'], 'corresponding_institution_ids': ['https://openalex.org/I4210119712'], 'apc_list': {'value': 2290, 'currency': 'EUR', 'value_usd': 2890, 'provenance': 'doaj'}, 'apc_paid': {'value': 2290, 'currency': 'EUR', 'value_usd': 2890, 'provenance': 'doaj'}, 'fwci': 1.699, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 7, 'citation_normalized_percentile': {'value': 0.658961, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 82, 'max': 83}, 'biblio': {'volume': '373', 'issue': '3-4', 'first_page': '977', 'last_page': '1016'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11166', 'display_name': 'Analytic Number Theory Research', 'score': 0.9996, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, '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/T11166', 'display_name': 'Analytic Number Theory Research', 'score': 0.9996, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, '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/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9992, '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/T11329', 'display_name': 'Limits and Structures in Graph Theory', 'score': 0.9958, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/conic-section', 'display_name': 'Conic section', 'score': 0.9367774}], 'concepts': [{'id': 'https://openalex.org/C108598597', 'wikidata': 'https://www.wikidata.org/wiki/Q124255', 'display_name': 'Conic section', 'level': 2, 'score': 0.9367774}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.9111428}, {'id': 'https://openalex.org/C130432447', 'wikidata': 'https://www.wikidata.org/wiki/Q11420049', 'display_name': 'Quartic function', 'level': 2, 'score': 0.89345974}, {'id': 'https://openalex.org/C34388435', 'wikidata': 'https://www.wikidata.org/wiki/Q2267362', 'display_name': 'Bounded function', 'level': 2, 'score': 0.5222003}, {'id': 'https://openalex.org/C182306322', 'wikidata': 'https://www.wikidata.org/wiki/Q1779371', 'display_name': 'Order (exchange)', 'level': 2, 'score': 0.5121465}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.4402253}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.39083385}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.30350417}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.26347852}, {'id': 'https://openalex.org/C10138342', 'wikidata': 'https://www.wikidata.org/wiki/Q43015', 'display_name': 'Finance', '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': 3, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/s00208-018-1716-6', 'pdf_url': 'https://link.springer.com/content/pdf/10.1007/s00208-018-1716-6.pdf', 'source': {'id': 'https://openalex.org/S192217950', 'display_name': 'Mathematische Annalen', 'issn_l': '0025-5831', 'issn': ['0025-5831', '1432-1807'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, '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': 'journal'}, 'license': 'cc-by', 'license_id': 'https://openalex.org/licenses/cc-by', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/1609.09057', 'pdf_url': 'http://arxiv.org/pdf/1609.09057', '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.1609.09057', '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/10.1007/s00208-018-1716-6', 'pdf_url': 'https://link.springer.com/content/pdf/10.1007/s00208-018-1716-6.pdf', 'source': {'id': 'https://openalex.org/S192217950', 'display_name': 'Mathematische Annalen', 'issn_l': '0025-5831', 'issn': ['0025-5831', '1432-1807'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, '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': 'journal'}, 'license': 'cc-by', 'license_id': 'https://openalex.org/licenses/cc-by', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': ['https://openalex.org/W2526914732', 'https://openalex.org/W3101164122'], 'referenced_works_count': 38, 'referenced_works': ['https://openalex.org/W105142203', 'https://openalex.org/W121096392', 'https://openalex.org/W1489774662', 'https://openalex.org/W1501162952', 'https://openalex.org/W1553033667', 'https://openalex.org/W1967895290', 'https://openalex.org/W1971266505', 'https://openalex.org/W1986476443', 'https://openalex.org/W1989446367', 'https://openalex.org/W1997443202', 'https://openalex.org/W2001505843', 'https://openalex.org/W2012684598', 'https://openalex.org/W2043370499', 'https://openalex.org/W2080331099', 'https://openalex.org/W2097673562', 'https://openalex.org/W2109304932', 'https://openalex.org/W2116372917', 'https://openalex.org/W2122316601', 'https://openalex.org/W2158834083', 'https://openalex.org/W2242551337', 'https://openalex.org/W2260958437', 'https://openalex.org/W2625266671', 'https://openalex.org/W2950257077', 'https://openalex.org/W2953044041', 'https://openalex.org/W2963716712', 'https://openalex.org/W3036994735', 'https://openalex.org/W3101207093', 'https://openalex.org/W3102665368', 'https://openalex.org/W3104220176', 'https://openalex.org/W3104486449', 'https://openalex.org/W3105036338', 'https://openalex.org/W3124963177', 'https://openalex.org/W32554555', 'https://openalex.org/W4214941764', 'https://openalex.org/W4247673934', 'https://openalex.org/W4249646238', 'https://openalex.org/W586135738', 'https://openalex.org/W597485411'], 'related_works': ['https://openalex.org/W4391375266', 'https://openalex.org/W4300566153', 'https://openalex.org/W4295184678', 'https://openalex.org/W4287868081', 'https://openalex.org/W3194936234', 'https://openalex.org/W3133131013', 'https://openalex.org/W2804689728', 'https://openalex.org/W2795378890', 'https://openalex.org/W2741836468', 'https://openalex.org/W2162218604'], 'abstract_inverted_index': {'Upper': [0], 'and': [1], 'lower': [2], 'bounds,': [3], 'of': [4, 8, 15, 18], 'the': [5, 13], 'expected': [6], 'order': [7], 'magnitude,': [9], 'are': [10], 'obtained': [11], 'for': [12], 'number': [14], 'rational': [16], 'points': [17], 'bounded': [19], 'height': [20], 'on': [21], 'any': [22], 'quartic': [23], 'del': [24], 'Pezzo': [25], 'surface': [26], 'over': [27, 34], '$\\mathbb{Q}$': [28], 'that': [29], 'contains': [30], 'a': [31], 'conic': [32], 'defined': [33], '$\\mathbb{Q}$.': [35]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3101164122', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 2}, {'year': 2018, 'cited_by_count': 2}, {'year': 2017, 'cited_by_count': 1}, {'year': 2016, 'cited_by_count': 1}], 'updated_date': '2024-12-16T02:09:31.705675', 'created_date': '2020-11-23'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
