@article{14239,
abstract = {Given a resolution of rational singularities π:X~→X over a field of characteristic zero, we use a Hodge-theoretic argument to prove that the image of the functor Rπ∗:Db(X~)→Db(X)
between bounded derived categories of coherent sheaves generates Db(X)
as a triangulated category. This gives a weak version of the Bondal–Orlov localization conjecture [BO02], answering a question from [PS21]. The same result is established more generally for proper (not necessarily birational) morphisms π:X~→X , with X~
smooth, satisfying Rπ∗(OX~)=OX .},
author = {Mauri, Mirko and Shinder, Evgeny},
issn = {2050-5094},
journal = {Forum of Mathematics, Sigma},
publisher = {Cambridge University Press},
title = {{Homological Bondal-Orlov localization conjecture for rational singularities}},
doi = {10.1017/fms.2023.65},
volume = {11},
year = {2023},
}