Artin's theorems in supergeometry
Nadia Ott
TL;DR
This paper extends Artin's fundamental algebraicity theorems to supergeometry, including approximation, formal moduli, and stacks, broadening their applicability in modern geometric contexts.
Contribution
It introduces the first generalization of Artin's theorems to supergeometry, establishing foundational results for algebraic structures involving superspaces.
Findings
Artin approximation holds in supergeometry.
Formal moduli can be algebraized in supergeometric settings.
Stacks in supergeometry can be algebraized similarly to classical cases.
Abstract
We generalize Artin's three main algebraicity theorems to the setting of supergeometry: Artin approximation, algebraization of formal moduli, and algebraization of stacks.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra