Matrix factorizations and singularity categories for stacks

Details Matrix factorizations and singularity categories for stacks Matrix factorizations and singularity categories for stacks

2010-11-20

arxiv.org/abs/1011.4544v1

Mathematics

Algebraic Geometry

29 pages

Scientific paper

We study matrix factorizations of a section W of a line bundle on an algebraic stack. We relate the corresponding derived category (the category of D-branes of type B in the Landau-Ginzburg model with potential W) with the singularity category of the zero locus of W generalizing a theorem of Orlov. We use this result to construct push-forward functors for matrix factorizations with relatively proper support.

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