Matrix factorizations for nonaffine LG-models

Details Matrix factorizations for nonaffine LG-models Matrix factorizations for nonaffine LG-models

2011-01-20

arxiv.org/abs/1101.4051v3

Mathematics

Algebraic Geometry

12 pages, minor corrections of TEX file

Scientific paper

10.1007/s00208-011-0676-x

We propose a natural definition of a category of matrix factorizations for nonaffine Landau-Ginzburg models. For any LG-model we construct a fully faithful functor from the category of matrix factorizations defined in this way to the triangulated category of singularities of the corresponding fiber. We also show that this functor is an equivalence if the total space of the LG-model is smooth.

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