Schlesinger foliation for deformations of foliations

Name: Work Video:
Duration: 3 min 30 s
Description: In this article, we show that for any deformation of analytic foliations, there exists a maximal analytic singular foliation on the space of parameters along the leaves of which the deformation is integrable.
Yohann Genzmer
{'id': 'https://openalex.org/W2535453629', 'doi': None, 'title': 'Schlesinger foliation for deformations of foliations', 'display_name': 'Schlesinger foliation for deformations of foliations', 'publication_year': 2016, 'publication_date': '2016-10-19', 'ids': {'openalex': 'https://openalex.org/W2535453629', 'mag': '2535453629'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/1610.06002.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/A5084407592', 'display_name': 'Yohann Genzmer', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I134560555', 'display_name': 'Université Toulouse III - Paul Sabatier', 'ror': 'https://ror.org/02v6kpv12', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I134560555']}, {'id': 'https://openalex.org/I84500057', 'display_name': 'Institut de Mathématiques de Toulouse', 'ror': 'https://ror.org/014vp6c30', 'country_code': 'FR', 'type': 'facility', 'lineage': ['https://openalex.org/I1294671590', 'https://openalex.org/I134560555', 'https://openalex.org/I196454796', 'https://openalex.org/I3131550300', 'https://openalex.org/I4210141950', 'https://openalex.org/I4210152422', 'https://openalex.org/I84500057']}], 'countries': ['FR'], 'is_corresponding': True, 'raw_author_name': 'Yohann Genzmer', 'raw_affiliation_strings': ['Institut de Mathématiques de Toulouse, Université Paul Sabatier, Toulouse cedex, France'], 'affiliations': [{'raw_affiliation_string': 'Institut de Mathématiques de Toulouse, Université Paul Sabatier, Toulouse cedex, France', 'institution_ids': ['https://openalex.org/I134560555', 'https://openalex.org/I84500057']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': ['https://openalex.org/A5084407592'], 'corresponding_institution_ids': ['https://openalex.org/I134560555', 'https://openalex.org/I84500057'], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 66}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12396', 'display_name': 'Advanced Differential Equations and Dynamical Systems', 'score': 0.9984, '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/T12396', 'display_name': 'Advanced Differential Equations and Dynamical Systems', 'score': 0.9984, '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/T11830', 'display_name': 'Point processes and geometric inequalities', 'score': 0.9646, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, '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/T13080', 'display_name': 'Advanced Differential Geometry Research', 'score': 0.9421, 'subfield': {'id': 'https://openalex.org/subfields/3103', 'display_name': 'Astronomy and Astrophysics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/foliation', 'display_name': 'Foliation (geology)', 'score': 0.98379296}], 'concepts': [{'id': 'https://openalex.org/C168425004', 'wikidata': 'https://www.wikidata.org/wiki/Q525802', 'display_name': 'Foliation (geology)', 'level': 3, 'score': 0.98379296}, {'id': 'https://openalex.org/C200741047', 'wikidata': 'https://www.wikidata.org/wiki/Q1957758', 'display_name': 'Integrable system', 'level': 2, 'score': 0.7928957}, {'id': 'https://openalex.org/C204366326', 'wikidata': 'https://www.wikidata.org/wiki/Q3027650', 'display_name': 'Deformation (meteorology)', 'level': 2, 'score': 0.7154782}, {'id': 'https://openalex.org/C2778572836', 'wikidata': 'https://www.wikidata.org/wiki/Q380933', 'display_name': 'Space (punctuation)', 'level': 2, 'score': 0.59637874}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.46367952}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.43270448}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.3700593}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.32564998}, {'id': 'https://openalex.org/C127313418', 'wikidata': 'https://www.wikidata.org/wiki/Q1069', 'display_name': 'Geology', 'level': 0, 'score': 0.29716253}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.09773022}, {'id': 'https://openalex.org/C5900021', 'wikidata': 'https://www.wikidata.org/wiki/Q163082', 'display_name': 'Petrology', 'level': 1, 'score': 0.058106154}, {'id': 'https://openalex.org/C111368507', 'wikidata': 'https://www.wikidata.org/wiki/Q43518', 'display_name': 'Oceanography', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C26687426', 'wikidata': 'https://www.wikidata.org/wiki/Q47069', 'display_name': 'Metamorphic rock', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C111919701', 'wikidata': 'https://www.wikidata.org/wiki/Q9135', 'display_name': 'Operating system', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/1610.06002.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': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W93869549', 'https://openalex.org/W832230540', 'https://openalex.org/W3205175169', 'https://openalex.org/W3104686996', 'https://openalex.org/W3098035043', 'https://openalex.org/W3045417891', 'https://openalex.org/W3041045273', 'https://openalex.org/W2963551952', 'https://openalex.org/W2963276873', 'https://openalex.org/W2952115627', 'https://openalex.org/W2888149144', 'https://openalex.org/W2599716887', 'https://openalex.org/W2334228497', 'https://openalex.org/W2176914349', 'https://openalex.org/W2171644596', 'https://openalex.org/W2056409953', 'https://openalex.org/W205473713', 'https://openalex.org/W1971354599', 'https://openalex.org/W171875226'], 'abstract_inverted_index': {'In': [0], 'this': [1], 'article,': [2], 'we': [3], 'show': [4], 'that': [5], 'for': [6], 'any': [7], 'deformation': [8, 30], 'of': [9, 22, 27], 'analytic': [10, 16], 'foliations,': [11], 'there': [12], 'exists': [13], 'a': [14], 'maximal': [15], 'singular': [17], 'foliation': [18], 'on': [19], 'the': [20, 25, 29], 'space': [21], 'parameters': [23], 'along': [24], 'leaves': [26], 'which': [28], 'is': [31], 'integrable.': [32]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2535453629', 'counts_by_year': [], 'updated_date': '2024-12-15T17:24:53.086679', 'created_date': '2016-10-28'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
