This Ph. D thesis deals with various aspects of the theory of derived categories of sheaves on projective varieties. The first result is a generalization of a representability theorem by Lunts and Orlov for fully faithful functors where the source derived category is the derived category of sheaves over the double point scheme. The second result is a description of the space of stability conditions for the same derived category. The final result is a descend criterion for equivariant sheaves to the quotient variety with respect to an action by a finite group.
FOURIER-MUKAI TRANSFORMS FOR SINGULAR PROJECTIVE VARIETIES / F. Amodeo ; relatore: P. Stellari. Università degli Studi di Milano, 2014 Dec 11. 27. ciclo, Anno Accademico 2014. [10.13130/amodeo-francesco_phd2014-12-11].
FOURIER-MUKAI TRANSFORMS FOR SINGULAR PROJECTIVE VARIETIES
F. Amodeo
2014
Abstract
This Ph. D thesis deals with various aspects of the theory of derived categories of sheaves on projective varieties. The first result is a generalization of a representability theorem by Lunts and Orlov for fully faithful functors where the source derived category is the derived category of sheaves over the double point scheme. The second result is a description of the space of stability conditions for the same derived category. The final result is a descend criterion for equivariant sheaves to the quotient variety with respect to an action by a finite group.File | Dimensione | Formato | |
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