Quotients of complex algebraic supergroups
R. Fioresi, S. D. Kwok, D. W. Taylor
TL;DR
This paper proves that the quotient of an algebraic supergroup by a closed subsupergroup can be represented as a smooth superscheme, establishing a foundational result in the theory of algebraic supergroups.
Contribution
It demonstrates that the etale sheafification of the quotient functor is representable by a smooth superscheme, advancing the understanding of quotient structures in supergeometry.
Findings
Quotients of algebraic supergroups are representable as smooth superschemes.
The etale sheafification of the quotient functor is well-behaved.
Provides a foundational result for supergroup quotient theory.
Abstract
In this paper we prove that the etale sheafification of the functor arising from the quotient of an algebraic supergroup by a closed subsupergroup is representable by a smooth superscheme.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra