Valery A. Lunts

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• Derived Category of Equivariant Coherent Sheaves on a Smooth Toric Variety and Koszul Duality2025 · аннотациясвернуть

  Let X be a smooth toric variety defined by the fan Σ. We consider Σ as a finite set with topology and define a natural sheaf of graded algebras A_Σ on Σ. The category…

• Derived category of equivariant coherent sheaves on a smooth toric variety and Koszul duality2024
• Catalan numbers and noncommutative Hilbert schemes2024
• On cohomological and K-theoretical Hall algebras of symmetric quivers2023
• Catalan numbers, parking functions, permutahedra and noncommutative Hilbert schemes2022
• Uniqueness of enhancement for triangulated categories2010 · аннотациясвернуть

  The paper contains general results on the uniqueness of a DG enhancement for triangulated categories. As a consequence we obtain such uniqueness for the unbounded derived categories of quasi-coherent sheaves, for the…

• Categorical resolution of singularities2010
• Motivic Measures and Stable Birational Geometry2003 · аннотациясвернуть

  We study the motivic Grothendieck group of algebraic varieties from the point of view of stable birational geometry.In particular, we obtain a counter-example to a conjecture of M. Kapranov on the rationality of motivic…