What type of study is this?

This is a Quantitative Study study.

October 13, 2025Open Access

Orlov's theorem over a quasiexcellent ring

View Full Paper

Ask AI

Bookmark

Orlov's representability theorem holds for smooth tame Deligne-Mumford stacks with projective moduli spaces.
The result extends previous findings for smooth projective varieties, demonstrating its applicability in broader contexts.
This framework extends classical algebraic geometry's reach, with implications for finite Krull dimension contexts.
The application of quasiexcellent rings reveals new pathways in understanding geometric structures.

Implication

This analysis shows Orlov's theorem applies to smooth Deligne-Mumford stacks, suggesting broader implications in algebraic geometry.

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.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Fei Peng (2025) studied this question.

synapsesocial.com/papers/68ece2abd1bb2827d1297196 https://doi.org/10.48550/arxiv.2503.01083

View Full Paper

Ask AI

Bookmark

Implication

This analysis shows Orlov's theorem applies to smooth Deligne-Mumford stacks, suggesting broader implications in algebraic geometry.

Orlov's theorem over a quasiexcellent ring

Key Points

Implication

Abstract

Discussion

Cite This Study

Orlov's theorem over a quasiexcellent ring

Key Points

Implication

Abstract

Discussion

Cite This Study

Keep reading

Keep reading