Fourier-Mukai transform for twisted sheaves
Fourier-Mukai transform for twisted sheaves
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dc.contributor.advisor | Huybrechts, Daniel | |
dc.contributor.author | Martinez Navas, Hermes Jackson | |
dc.date.accessioned | 2020-04-15T17:49:50Z | |
dc.date.available | 2020-04-15T17:49:50Z | |
dc.date.issued | 29.07.2010 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/4631 | |
dc.description.abstract | In 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 $\pi^{\ast}:Br'(Y)\rightarrow Br'(X)$. | |
dc.language.iso | eng | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject.ddc | 510 Mathematik | |
dc.title | Fourier-Mukai transform for twisted sheaves | |
dc.type | Dissertation oder Habilitation | |
dc.publisher.name | Universitäts- und Landesbibliothek Bonn | |
dc.publisher.location | Bonn | |
dc.rights.accessRights | openAccess | |
dc.identifier.urn | https://nbn-resolving.org/urn:nbn:de:hbz:5N-22306 | |
ulbbn.pubtype | Erstveröffentlichung | |
ulbbnediss.affiliation.name | Rheinische Friedrich-Wilhelms-Universität Bonn | |
ulbbnediss.affiliation.location | Bonn | |
ulbbnediss.thesis.level | Dissertation | |
ulbbnediss.dissID | 2230 | |
ulbbnediss.date.accepted | 06.07.2010 | |
ulbbnediss.fakultaet | Mathematisch-Naturwissenschaftliche Fakultät | |
dc.contributor.coReferee | Harder, Günter |
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