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Derived Torelli theorem for K3 surfaces

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No logo availableInstitut des Hautes Études Scientifiques (IHÉS)
 Olsson, Martin

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Derived Torelli theorem for K3 surfaces
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4
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12
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CC Attribution 3.0 Unported:
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Abstract
Classical Torelli theorems are in their very formulation restricted to complex algebraic varieties. In this talk I will discuss a Torelli-type theorem for K3 surfaces in positive characteristic using the derived category of coherent sheaves as a substitute for the integral structure on Betti cohomology. I will also discuss various arithmetic consequences. This is joint work with Max Lieblich.