Witt affine Springer theory

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Authors: Noam Nissan, Yakov Varshavsky
Cited by: 0

Abstract

This paper extends the affine Springer theory developed by Bouthier, Kazhdan, and the second author (see [BKV]) to the mixed characteristic case. In particular, we introduce a theory of perfectly placid perfect infinity stacks and establish their dimension theory. Furthermore, we prove that, in the Witt vector setting, the Chevalley morphism between arc spaces is flat.

Fields of Study & Subjects

Advanced Algebra and Geometry Algebraic Geometry and Number Theory Algebraic structures and combinatorial models

Publication details

Journal / source
arXiv (Cornell University)
Publication date
14 January 2026
Document type
Preprint