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math.AGNov 18, 2019
1
citations (OpenAlex)
authors
  • Sergey Mozgovoy
arXiv abstractPDF
paper

Motivic classes of Quot-schemes on surfaces

arXiv:1911.07561

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.

arXiv comment12 pages

References in corpus (11)

  • Lectures on Nakajima's Quiver Varieties
  • Motivic degree zero Donaldson-Thomas invariants
  • A computational criterion for the Kac conjecture
  • On the number of points of nilpotent quiver varieties over finite fields
  • Fermionic forms and quiver varieties
  • On the irreducibility of the punctual Quotient Scheme of a Surface
  • On the motive of zero-dimensional Quot schemes on a curve
  • On Punctual Quot Schemes for Algebraic Surfaces
  • An exponential function on the set of varieties
  • On the motive of the Hilbert scheme of points on a surface
  • Power structure over the Grothendieck ring of varieties and generating series of Hilbert schemes of points
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