Fourier-Mukai transform for twisted sheaves

Martinez Navas, Hermes Jackson

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Fourier-Mukai transform for twisted sheaves

Martinez Navas, H. J. (2010). Fourier-Mukai transform for twisted sheaves. PhD Thesis, University of Bonn, Bonn.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-227B-C Version Permalink: https://hdl.handle.net/21.11116/0000-0009-020C-8

Genre: Thesis

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https://hdl.handle.net/20.500.11811/4631 (Any fulltext) Open Access status unknown

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Creators:
Martinez Navas, Hermes Jackson¹, Author

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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201

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Abstract: n this thesis we study Fourier-Mukai transforms between derived categories of twisted sheaves. We show that some well known results about the classification of surfaces under derived categories extend to the derived category of twisted sheaves. In particular, we study the relationship between the derived category of twisted sheaves D^b(X,\alpha) for an Enriques surface Y and the derived category of twisted sheaves $D^b(X,\pi^{\ast}\alpha)$ where $\pi^{\ast}:Br'(Y)\rightarrow Br'(X)$ is the induced homomorphism obtained from the K3 cover of Y: $\pi:X\rightarrow Y$. We also study the injectivity of the morphism $\pi^{\ast}:Br'(Y)\rightarrow Br'(X)$.

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Language(s): eng - English

Dates: Accepted: 2010

Publication Status: Accepted / In Press

Pages: 99 p.

Publishing info: Bonn : University of Bonn

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Identifiers: URN: https://nbn-resolving.org/urn:nbn:de:hbz:5N-22306

Degree: PhD

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