---
res:
bibo_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)\r\n between bounded derived categories of coherent sheaves
generates Db(X)\r\n 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~\r\n smooth, satisfying Rπ∗(OX~)=OX .@eng"
bibo_authorlist:
- foaf_Person:
foaf_givenName: Mirko
foaf_name: Mauri, Mirko
foaf_surname: Mauri
foaf_workInfoHomepage: http://www.librecat.org/personId=2cf70c34-09c1-11ed-bd8d-c34fac206130
- foaf_Person:
foaf_givenName: Evgeny
foaf_name: Shinder, Evgeny
foaf_surname: Shinder
bibo_doi: 10.1017/fms.2023.65
bibo_volume: 11
dct_date: 2023^xs_gYear
dct_identifier:
- UT:001041926700001
dct_isPartOf:
- http://id.crossref.org/issn/2050-5094
dct_language: eng
dct_publisher: Cambridge University Press@
dct_title: Homological Bondal-Orlov localization conjecture for rational singularities@
...