Conservative descent for semi-orthogonal decompositions
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Standard
Conservative descent for semi-orthogonal decompositions. / Bergh, Daniel; Schnürer, Olaf M.
I: Advances in Mathematics, Bind 360, 106882, 2020.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Harvard
APA
Vancouver
Author
Bibtex
}
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