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Orlov's theorem over a quasiexcellent ring

arXiv:2503.01083

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.

15 pages, comments welcome!

Orlov's theorem over a quasiexcellent ring · wovepaper