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Derived partners of Enriques surfaces
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Chan, Vernon. Derived partners of Enriques surfaces. Retrieved from https://doi.org/doi:10.7282/t3-c31m-0e89

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TitleDerived partners of Enriques surfaces
NameChan, Vernon (author); Borisov, Lev (chair); Woodward, Christopher (member); Krashen, Daniel (member); de Jong, Aise Johan (member); Rutgers University; School of Graduate Studies
Date Created2022
Other Date2022-05 (degree)
SubjectMathematics, Algebraic geometry, Algebraic stack, Brauer group, Clifford algebras, Derived equivalence, Enriques surface, Enriques surfaces, Algebraic stacks, Brauer group, Clifford algebras
Extent79 pages : illustrations
DescriptionLet V be a 6-dimensional complex vector space with an involution σ of trace 0, and let W Sym^2 V* be a generic 3-dimensional subspace of σ-invariant quadratic forms. To these data we can associate an Enriques surface as the σ-quotient of the complete intersection of the quadratic forms in W. We exhibit noncommutative Deligne-Mumford stacks together with Brauer classes whose derived categories are equivalent to those of the Enriques surfaces.
NotePh.D.
NoteIncludes bibliographical references
Genretheses
Persistent URLhttps://doi.org/doi:10.7282/t3-c31m-0e89
LanguageEnglish
CollectionSchool of Graduate Studies Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
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