46 citations · 172 across the 25 of their papers we have counts for
4 papers · 1 filter
Homological Bondal-Orlov localization conjecture for rational singularities
Mirko Mauri, Evgeny Shinder
Given a resolution of rational singularities over a field of characteristic zero we use a Hodge-theoretic argument to prove that the image of the functor…
Homologically finite-dimensional objects in triangulated categories
Alexander Kuznetsov, Evgeny Shinder
In this paper we investigate homologically finite-dimensional objects in the derived category of a given small dg-enhanced triangulated category. Using these we define reflexivity,…
Motivic invariants of birational maps
Hsueh-Yung Lin, Evgeny Shinder
We construct invariants of birational maps with values in the Kontsevich--Tschinkel group and in the truncated Grothendieck groups of varieties. These invariants are morphisms of g…
Categorical absorptions of singularities and degenerations
Alexander Kuznetsov, Evgeny Shinder
We introduce the notion of categorical absorption of singularities: an operation that removes from the derived category of a singular variety a small admissible subcategory respons…