{"id":"https://openalex.org/W1997062762","doi":"https://doi.org/10.1112/jlms/jdu021","title":"On the Zariski-Lipman Conjecture for normal algebraic surfaces","display_name":"On the Zariski-Lipman Conjecture for normal algebraic surfaces","publication_year":2014,"publication_date":"2014-06-16","ids":{"openalex":"https://openalex.org/W1997062762","doi":"https://doi.org/10.1112/jlms/jdu021","mag":"1997062762"},"language":"en","primary_location":{"id":"doi:10.1112/jlms/jdu021","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdu021","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091389697","display_name":"Indranil Biswas","orcid":"https://orcid.org/0000-0002-6475-558X"},"institutions":[{"id":"https://openalex.org/I11947397","display_name":"Tata Institute of Fundamental Research","ror":"https://ror.org/03ht1xw27","country_code":"IN","type":"education","lineage":["https://openalex.org/I11947397","https://openalex.org/I2799351866","https://openalex.org/I3149292468"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Indranil Biswas","raw_affiliation_strings":["School of Mathematics, Tata Institute of Fundamental Research, Homi-Bhabha Road, Mumbai 400005, India, [email protected]","School of Mathematics, Tata Institute of Fundamental Research, Homi-Bhabha Road, Mumbai 400005, India, indranil@math.tifr.res.in"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Tata Institute of Fundamental Research, Homi-Bhabha Road, Mumbai 400005, India, [email protected]","institution_ids":["https://openalex.org/I11947397"]},{"raw_affiliation_string":"School of Mathematics, Tata Institute of Fundamental Research, Homi-Bhabha Road, Mumbai 400005, India, indranil@math.tifr.res.in","institution_ids":["https://openalex.org/I11947397"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040757217","display_name":"R. V. Gurjar","orcid":"https://orcid.org/0000-0002-0321-515X"},"institutions":[{"id":"https://openalex.org/I11947397","display_name":"Tata Institute of Fundamental Research","ror":"https://ror.org/03ht1xw27","country_code":"IN","type":"education","lineage":["https://openalex.org/I11947397","https://openalex.org/I2799351866","https://openalex.org/I3149292468"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"R. V. Gurjar","raw_affiliation_strings":["School of Mathematics, Tata Institute of Fundamental Research, Homi-Bhabha Road, Mumbai 400005, India, [email protected]","School of Mathematics, Tata Institute of Fundamental Research, Homi-Bhabha Road, Mumbai 400005, India, indranil@math.tifr.res.in"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Tata Institute of Fundamental Research, Homi-Bhabha Road, Mumbai 400005, India, [email protected]","institution_ids":["https://openalex.org/I11947397"]},{"raw_affiliation_string":"School of Mathematics, Tata Institute of Fundamental Research, Homi-Bhabha Road, Mumbai 400005, India, indranil@math.tifr.res.in","institution_ids":["https://openalex.org/I11947397"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111607890","display_name":"Sagar Kolte","orcid":"https://orcid.org/0009-0005-6631-2861"},"institutions":[{"id":"https://openalex.org/I11947397","display_name":"Tata Institute of Fundamental Research","ror":"https://ror.org/03ht1xw27","country_code":"IN","type":"education","lineage":["https://openalex.org/I11947397","https://openalex.org/I2799351866","https://openalex.org/I3149292468"]},{"id":"https://openalex.org/I125608817","display_name":"Korea Institute for Advanced Study","ror":"https://ror.org/041hz9568","country_code":"KR","type":"facility","lineage":["https://openalex.org/I125608817"]}],"countries":["IN","KR"],"is_corresponding":false,"raw_author_name":"Sagar U. Kolte","raw_affiliation_strings":["School of Mathematics, Tata Institute of Fundamental Research, Homi-Bhabha Road, Mumbai 400005, India, [email protected], Current address:, School of Mathematics, Korea Institute for Advanced Study, Seoul 130-722, Korea, [email protected]","School of Mathematics, Tata Institute of Fundamental Research, Homi-Bhabha Road, Mumbai 400005, India, sagar@math.tifr.res.in, Current address:, School of Mathematics, Korea Institute for Advanced Study, Seoul 130-722, Korea, sagar@kias.re.kr"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Tata Institute of Fundamental Research, Homi-Bhabha Road, Mumbai 400005, India, [email protected], Current address:, School of Mathematics, Korea Institute for Advanced Study, Seoul 130-722, Korea, [email protected]","institution_ids":["https://openalex.org/I11947397","https://openalex.org/I125608817"]},{"raw_affiliation_string":"School of Mathematics, Tata Institute of Fundamental Research, Homi-Bhabha Road, Mumbai 400005, India, sagar@math.tifr.res.in, Current address:, School of Mathematics, Korea Institute for Advanced Study, Seoul 130-722, Korea, sagar@kias.re.kr","institution_ids":["https://openalex.org/I11947397"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040757217"],"corresponding_institution_ids":["https://openalex.org/I11947397"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.06787854,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"90","issue":"1","first_page":"270","last_page":"286"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9993000030517578,"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":0.9993000030517578,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9983000159263611,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8448696732521057},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6471989750862122},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6428172588348389},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5985539555549622},{"id":"https://openalex.org/keywords/algebraic-surface","display_name":"Algebraic surface","score":0.5889775156974792},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5463488698005676},{"id":"https://openalex.org/keywords/algebraic-cycle","display_name":"Algebraic cycle","score":0.43379828333854675},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4212660491466522},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1749705672264099}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8448696732521057},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6471989750862122},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6428172588348389},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5985539555549622},{"id":"https://openalex.org/C69653121","wikidata":"https://www.wikidata.org/wiki/Q1434805","display_name":"Algebraic surface","level":3,"score":0.5889775156974792},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5463488698005676},{"id":"https://openalex.org/C199793520","wikidata":"https://www.wikidata.org/wiki/Q4723996","display_name":"Algebraic cycle","level":3,"score":0.43379828333854675},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4212660491466522},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1749705672264099}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1112/jlms/jdu021","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdu021","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W30133928","https://openalex.org/W643962949","https://openalex.org/W650375129","https://openalex.org/W1525223057","https://openalex.org/W1970889809","https://openalex.org/W1996249585","https://openalex.org/W1998836704","https://openalex.org/W2014697596","https://openalex.org/W2035160890","https://openalex.org/W2044607131","https://openalex.org/W2048286686","https://openalex.org/W2051540942","https://openalex.org/W2060457863","https://openalex.org/W2076240874","https://openalex.org/W2092388329","https://openalex.org/W2167728903","https://openalex.org/W2258080988","https://openalex.org/W2280827941","https://openalex.org/W2317861396","https://openalex.org/W2321913553","https://openalex.org/W2329239183","https://openalex.org/W2489884009","https://openalex.org/W2609437190","https://openalex.org/W2944805646","https://openalex.org/W3100464493","https://openalex.org/W4244848377","https://openalex.org/W4302434497","https://openalex.org/W6601262784","https://openalex.org/W6665518509"],"related_works":["https://openalex.org/W2068662463","https://openalex.org/W2031658067","https://openalex.org/W2076085433","https://openalex.org/W2237584996","https://openalex.org/W619496859","https://openalex.org/W2221349590","https://openalex.org/W2408624816","https://openalex.org/W2964094389","https://openalex.org/W1480971965","https://openalex.org/W3178230565"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,15,31],"Zariski\u2013Lipman":[3],"Conjecture":[4],"on":[5],"a":[6],"free":[7],"module":[8],"of":[9,17,36],"derivations":[10],"for":[11,33],"algebraic":[12,19],"surfaces.":[13,40],"Using":[14],"theory":[16],"non-complete":[18],"surfaces,":[20,27],"and":[21,38],"some":[22],"basic":[23],"results":[24],"about":[25],"ruled":[26],"we":[28],"will":[29],"prove":[30],"conjecture":[32],"several":[34],"classes":[35],"affine":[37],"projective":[39]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}