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Mathematics > Algebraic Geometry

arXiv:2503.01083 (math)
[Submitted on 3 Mar 2025 ]

Title: Orlov's theorem over a quasiexcellent ring

Title: 奥尔洛夫定理在准卓越环上

Authors:Fei Peng
Abstract: Following the approach of Kawamata and Canonaco-Stellari, we establish Orlov's representability theorem for smooth tame Deligne-Mumford stacks with projective coarse moduli spaces over a quasiexcellent ring of finite Krull dimension. This generalizes a previous result of Canonaco-Stellari for smooth projective varieties over a field.
Abstract: 按照Kawamata和Canonaco-Stellari的方法,我们建立了Orlov的表示定理,适用于具有投射粗模空间的光滑温和Deligne-Mumford堆栈,在一个有限Krull维数的准卓越环上。 这推广了Canonaco-Stellari之前在域上的光滑投影簇上的一个结果。
Comments: 15 pages, comments welcome!
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14F06, 14F08 (Primary) 14A20 (Secondary)
Cite as: arXiv:2503.01083 [math.AG]
  (or arXiv:2503.01083v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.2503.01083
arXiv-issued DOI via DataCite

Submission history

From: Fei Peng [view email]
[v1] Mon, 3 Mar 2025 00:59:48 UTC (19 KB)
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