Conservative descent for semi-orthogonal decompositions

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Standard

Conservative descent for semi-orthogonal decompositions. / Bergh, Daniel; Schnürer, Olaf M.

In: Advances in Mathematics, Vol. 360, 106882, 2020.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Bergh, D & Schnürer, OM 2020, 'Conservative descent for semi-orthogonal decompositions', Advances in Mathematics, vol. 360, 106882. https://doi.org/10.1016/j.aim.2019.106882

APA

Bergh, D., & Schnürer, O. M. (2020). Conservative descent for semi-orthogonal decompositions. Advances in Mathematics, 360, [106882]. https://doi.org/10.1016/j.aim.2019.106882

Vancouver

Bergh D, Schnürer OM. Conservative descent for semi-orthogonal decompositions. Advances in Mathematics. 2020;360. 106882. https://doi.org/10.1016/j.aim.2019.106882

Author

Bergh, Daniel ; Schnürer, Olaf M. / Conservative descent for semi-orthogonal decompositions. In: Advances in Mathematics. 2020 ; Vol. 360.

Bibtex

@article{eaeb2172c063410a82f450536c7b0ebf,
title = "Conservative descent for semi-orthogonal decompositions",
abstract = "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.",
keywords = "Algebraic stack, Derived category, Semi-orthogonal decomposition",
author = "Daniel Bergh and Schn{\"u}rer, {Olaf M.}",
year = "2020",
doi = "10.1016/j.aim.2019.106882",
language = "English",
volume = "360",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press",

}

RIS

TY - JOUR

T1 - Conservative descent for semi-orthogonal decompositions

AU - Bergh, Daniel

AU - Schnürer, Olaf M.

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Algebraic stack

KW - Derived category

KW - Semi-orthogonal decomposition

UR - http://www.scopus.com/inward/record.url?scp=85074757109&partnerID=8YFLogxK

U2 - 10.1016/j.aim.2019.106882

DO - 10.1016/j.aim.2019.106882

M3 - Journal article

AN - SCOPUS:85074757109

VL - 360

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

M1 - 106882

ER -

ID: 243059981