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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.
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Landau-Ginzburg Hodge numbers for mirrors of del Pezzo surfaces
TL;DR: In this paper, the conjectures from [10] about Landau-Ginzburg Hodge numbers associated to tamely compactifiable LG models were investigated in the case of dimension two.
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Grothendieck ring of pretriangulated categories
TL;DR: In this paper, the authors considered the abelian group generated by quasi-equivalence classes of pretriangulated DG categories with relations coming from semi-orthogonal decompositions of corresponding triangulated categories.
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Matrix factorizations and semi-orthogonal decompositions for blowing-ups
Valery A. Lunts,Olaf M. Schnürer +1 more
TL;DR: In this article, the authors define categories of matrix factorizations for any regular function on a suitable regular scheme and prove a semi-orthogonal decomposition into admissible subcategories.
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Lefschetz fixed point theorems for Fourier-Mukai functors and DG algebras
TL;DR: In this paper, the Lefschetz fixed point theorem for Fourier-Mukai functors on a smooth projective algebraic variety is extended to the category of perfect modules over a smooth and proper DG algebra.
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Matrix factorizations and semi-orthogonal decompositions for blowing-ups
Valery A. Lunts,Olaf M. Schnürer +1 more
TL;DR: In this article, the authors define categories of matrix factorizations for any regular function on a suitable regular scheme and prove a semi-orthogonal decomposition into admissible subcategories.