Diplomarbeit
Pawel Sosna
Tensor Triangulated Categories in Algebraic Geometry
Seit 15.5.2007
Betreuer: Prof. Dr. Klaus Altmann
We use a tensor structure on a triangulated category to turn the Grothendieck group into a ring and characterize all dense ¨subrings'' of the triangulated category by subrings of the Grothendieck ring. Further, we apply the spectrum construction to study the connection between the number of Fourier-Mukai partners of a given scheme and the number of tensor structures on its derived category. In the last chapter we compute the spectra of some tensor triangulated categories which arise in algebraic geometry.
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