V
Valery A. Lunts
Researcher at Indiana University
Publications - 80
Citations - 2727
Valery A. Lunts is an academic researcher from Indiana University. The author has contributed to research in topics: Derived category & Coherent sheaf. The author has an hindex of 24, co-authored 78 publications receiving 2475 citations. Previous affiliations of Valery A. Lunts include National Research University – Higher School of Economics & Max Planck Society.
Papers
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Book
Equivariant Sheaves and Functors
Joseph Bernstein,Valery A. Lunts +1 more
TL;DR: In this paper, the DG-modules and equivariant cohomology of toric varieties have been studied, and the derived category D G (X) and functors have been defined.
Journal ArticleDOI
Uniqueness of enhancement for triangulated categories
Valery A. Lunts,Dmitri Orlov +1 more
TL;DR: In this paper, the uniqueness of a DG enhancement for triangulated categories of coherent sheaves and perfect complexes on quasi-projective schemes has been shown for the case of quasi-coherent sheaves.
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Uniqueness of enhancement for triangulated categories
Valery A. Lunts,Dmitri Orlov +1 more
TL;DR: In this paper, the uniqueness of a DG enhancement for triangulated categories of coherent sheaves and perfect complexes on quasi-projective schemes has been shown for the case of perfect complexes.
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Motivic measures and stable birational geometry
Michael Larsen,Valery A. Lunts +1 more
TL;DR: In this article, the authors studied the motivic Grothendieck group of algebraic vari- eties from the point of view of stable birational geometry and obtained a counterexample to a conjecture of M. Kapranov on the rationality of motivic zeta-functions.
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Grothendieck ring of pretriangulated categories
TL;DR: In this paper, the authors considered the abelian group PT generated by quasi-equivalence classes of pretriangulated DG categories with relations coming from semiorthogonal decompositions of corresponding triangulated categories.