Semiorthogonal decompositions of the categories of equivariant coherent sheaves for some reflection groups

@article{Polishchuk2015SemiorthogonalDO,
  title={Semiorthogonal decompositions of the categories of equivariant coherent sheaves for some reflection groups},
  author={Alexander Polishchuk and Michel van den Bergh},
  journal={arXiv: Algebraic Geometry},
  year={2015},
  pages={2653-2749}
}
  • Alexander Polishchuk, Michel van den Bergh
  • Published 2015
  • Mathematics
  • arXiv: Algebraic Geometry
  • We consider the derived category of coherent sheaves on a complex vector space equivariant with respect to an action of a finite reflection group G. In some cases, including Weyl groups of type A, B, G_2, F_4, as well as the groups G(m,1,n), we construct a semiorthogonal decomposition of this category, indexed by the conjugacy classes of G. The pieces of this decompositions are equivalent to the derived categories of coherent sheaves on the quotient-spaces V^g/C(g), where C(g) is the… CONTINUE READING
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