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Polynomial analogs of theta functions and rational solutions of the KP equation

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dc.contributor.coauthorAgostini, Daniele
dc.contributor.coauthorLittle, John B.
dc.contributor.departmentDepartment of Molecular Biology and Genetics
dc.contributor.kuauthorÇelik, Türkü Özlüm
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2025-03-06T20:58:45Z
dc.date.issued2024
dc.description.abstractIn this paper we classify the singular curves whose theta divisors in their generalized Jacobians are algebraic, meaning that they are cut out by polynomial analogs of theta functions. We also determine the degree of an algebraic theta divisor in terms of the singularities of the curve. Furthermore, we show a precise relation between such algebraic theta functions and the corresponding tau functions for the KP hierarchy.
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuTÜBİTAK
dc.description.sponsorshipThe second author is supported by Turkish Scientific and Technological Research Council (TÜBİTAK) - TÜBİTAK 2236, project number 121C039.
dc.identifier.doi10.1093/imrn/rnae227
dc.identifier.eissn1687-0247
dc.identifier.grantnoTurkish Scientific and Technological Research Council (TÜBİTAK) [TÜBİTAK 2236, 121C039]
dc.identifier.issn1073-7928
dc.identifier.issue22
dc.identifier.quartileQ2
dc.identifier.scopus2-s2.0-85210901123
dc.identifier.urihttps://doi.org/10.1093/imrn/rnae227
dc.identifier.urihttps://hdl.handle.net/20.500.14288/27553
dc.identifier.volume2024
dc.identifier.wos1334594400001
dc.keywordsSingular curves
dc.keywordsTheta divisors
dc.keywordsGeneralized Jacobians
dc.keywordsAlgebraic theta functions
dc.keywordsTau functions
dc.keywordsKP hierarchy
dc.keywordsPolynomial analogs
dc.keywordsDegree of theta divisor
dc.keywordsCurve singularities
dc.keywordsMathematical classification
dc.language.isoeng
dc.publisherOxford University Press
dc.relation.ispartofINTERNATIONAL MATHEMATICS RESEARCH NOTICES
dc.subjectMathematics
dc.titlePolynomial analogs of theta functions and rational solutions of the KP equation
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorÇelik, Türkü Özlüm
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Molecular Biology and Genetics
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