arXiv Open Access 2023

Good Moduli Spaces in Derived Algebraic Geometry

Eric Ahlqvist Jeroen Hekking Michele Pernice Michail Savvas

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Abstrak

We develop a theory of good moduli spaces for derived Artin stacks, which naturally generalizes the classical theory of good moduli spaces introduced by Alper. As such, many of the fundamental results and properties regarding good moduli spaces for classical Artin stacks carry over to the derived context. In fact, under natural assumptions, often satisfied in practice, we show that the derived theory essentially reduces to the classical theory. As applications, we establish derived versions of the étale slice theorem for good moduli spaces and the partial desingularization procedure of good moduli spaces.

Topik & Kata Kunci

math.AG

Penulis (4)

Eric Ahlqvist

Jeroen Hekking

Michele Pernice

Michail Savvas

Format Sitasi

APA MLA BibTeX

Ahlqvist, E., Hekking, J., Pernice, M., Savvas, M. (2023). Good Moduli Spaces in Derived Algebraic Geometry. https://arxiv.org/abs/2309.16574

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓