arXiv Open Access 2025

Dualizability of derived categories of algebraic stacks

Germán Stefanich

Lihat Sumber

Abstrak

We show that, for a Noetherian algebraic stack with quasi-affine diagonal $X$, the stable $\infty$-category of quasi-coherent sheaves on $X$ is dualizable if and only if the reduced identity component of the stabilizer of $X$ at every geometric point of positive characteristic is a torus. Along the way, we show that this condition on stabilizers is also equivalent to an array of other categorical conditions of interest.

Topik & Kata Kunci

math.AG

Penulis (1)

Germán Stefanich

Format Sitasi

APA MLA BibTeX

Stefanich, G. (2025). Dualizability of derived categories of algebraic stacks. https://arxiv.org/abs/2509.14231

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓