Autor:	Bergh, Daniel, Schnürer, Olaf M.
Rok vydání:	2017
Předmět:	Mathematics - Algebraic Geometry
Zdroj:	Advances in Mathematics, Volume 360, 22 January 2020, 106882, ISSN 0001-8708
Druh dokumentu:	Working Paper
DOI:	10.1016/j.aim.2019.106882
Popis:	Motivated by the local flavor of several well-known semi-orthogonal decompositions in algebraic geometry, we introduce a technique called conservative descent, which shows that it is enough to establish these decompositions locally. The decompositions we have in mind are those for projectivized vector bundles and blow-ups, due to Orlov, and root stacks, due to Ishii and Ueda. Our technique simplifies the proofs of these decompositions and establishes them in greater generality for arbitrary algebraic stacks. Comment: Final version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1712.06845 Zobrazit plný text záznamu View this record from Arxiv