Lefschetz fixed point theorems for Fourier-Mukai functors and DG algebras

Details Lefschetz fixed point theorems for Fourier-Mukai functors and DG algebras Lefschetz fixed point theorems for Fourier-Mukai functors and DG algebras

2011-02-14

arxiv.org/abs/1102.2884v4

Mathematics

Algebraic Geometry

Fourth version. Minor additions. Comments welcome

Scientific paper

We propose some variants of Lefschetz fixed point theorem for Fourier-Mukai
functors on a smooth projective algebraic variety. Independently we also
suggest a similar theorem for endo-functors on the category of perfect modules
over a smooth and proper DG algebra.

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