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AuthorDina, Bogdan Adriandc.contributor.author
Date of accession2021-12-17T09:47:28Zdc.date.accessioned
Available in OPARU since2021-12-17T09:47:28Zdc.date.available
Year of creation2021dc.date.created
Date of first publication2021-12-17dc.date.issued
AbstractIn this thesis we study classification problems in algebraic geometry. In the context of algebraic geometry these classification problems are called moduli problems. In an informal way, a moduli problem is that of classifying of families of algebraic objects with certain extra structure. In our case, the algebraic objects are abelian varieties with complex multiplication (CM). In order to solve certain (algorithmic) algebraic problems, we give a detailed description of the linear-algebraic data of abelian varieties with CM.dc.description.abstract
AbstractDiese Arbeit befasst sich mit der algorithmischen Konstruktion von Gleichungen algebraischer Kurven von Geschlecht 2 und 3. Ausgehend von ihren hauptpolarisierten Abelschen Varie- täten bestimmen wir mit Hilfe des Computers (numerische) Invarianten der Kurven. Diese entsprechen (approximationen) algebraischen Zahlen, mit denen wir eine explizite Gleichung der Kurven darstellen.dc.description.abstract
Languageendc.language.iso
PublisherUniversität Ulmdc.publisher
LicenseCC BY 4.0 Internationaldc.rights
Link to license texthttps://creativecommons.org/licenses/by/4.0/dc.rights.uri
KeywordComplex multiplicationdc.subject
KeywordTheta functionsdc.subject
KeywordAlgebraic curvesdc.subject
KeywordDieudonné theorydc.subject
Dewey Decimal GroupDDC 510 / Mathematicsdc.subject.ddc
LCSHAbelian varietiesdc.subject.lcsh
LCSHMultiplication, Complexdc.subject.lcsh
LCSHFunctions, Thetadc.subject.lcsh
LCSHCurves, Algebraicdc.subject.lcsh
TitleAlgorithms for curves of low genus: complex multiplication and Diedonné theorydc.title
Resource typeDissertationdc.type
Date of acceptance2021-11-08dcterms.dateAccepted
RefereeBouw, Irenedc.contributor.referee
RefereeLorenzo Garcia, Elisadc.contributor.referee
DOIhttp://dx.doi.org/10.18725/OPARU-40432dc.identifier.doi
PPN1782689818dc.identifier.ppn
URNhttp://nbn-resolving.de/urn:nbn:de:bsz:289-oparu-40508-4dc.identifier.urn
GNDAbelsche Mannigfaltigkeitdc.subject.gnd
GNDKomplexe Multiplikationdc.subject.gnd
GNDThetafunktiondc.subject.gnd
GNDAlgebraische Kurvedc.subject.gnd
FacultyFakultät für Mathematik und Wirtschaftswissenschaftenuulm.affiliationGeneral
InstitutionInstitut für Algebra und Zahlentheorieuulm.affiliationSpecific
Grantor of degreeFakultät für Mathematik und Wirtschaftswissenschaftenuulm.thesisGrantor
DCMI TypeTextuulm.typeDCMI
CategoryPublikationenuulm.category
Bibliographyuulmuulm.bibliographie


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