English

Motivic classes of Quot-schemes on surfaces

Algebraic Geometry 2019-11-19 v1

Abstract

Given a locally free coherent sheaf on a smooth algebraic surface, we consider the Quot-scheme parametrizing zero-dimensional quotients of the sheaf and find the corresponding motivic class in the Grothendieck ring of algebraic varieties.

Keywords

Cite

@article{arxiv.1911.07561,
  title  = {Motivic classes of Quot-schemes on surfaces},
  author = {Sergey Mozgovoy},
  journal= {arXiv preprint arXiv:1911.07561},
  year   = {2019}
}

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12 pages