Triangulated categories of singularities and equivalences between Landau-Ginzburg models

Details Triangulated categories of singularities and equivalences between Landau-Ginzburg models Triangulated categories of singularities and equivalences between Landau-Ginzburg models

2005-03-28

arxiv.org/abs/math/0503630v1

Sb. Math. 197 (2006), no. 11-12, 1827--1840

Mathematics

Algebraic Geometry

14 pp., LaTeX

Scientific paper

In this paper we prove an existence of some type of equivalences between
triangulated categories of singularities for varieties of different dimensions.
This class of equivalences generalizes so called Kn\"orrer periodicity. As
consequence we get equivalences between categories of D-branes of type B on
Landau-Ginzburg models of different dimensions.

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