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Mathematics > Algebraic Geometry

arXiv:1812.07920 (math)
[Submitted on 19 Dec 2018 (v1), last revised 1 May 2020 (this version, v2)]

Title:How to glue parity sheaves

Authors:Pramod N. Achar
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Abstract:Let X be a stratified space on which the Juteau-Mautner-Williamson theory of parity sheaves is available. We develop a "nearby cycles formalism" in the framework of the homotopy category of parity sheaves on X, also known as the mixed modular derived category of X. This construction is expected to have applications in modular geometric representation theory.
Comments: 38 pages. v2: minor corrections and clarifications
Subjects: Algebraic Geometry (math.AG); Representation Theory (math.RT)
Cite as: arXiv:1812.07920 [math.AG]
  (or arXiv:1812.07920v2 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1812.07920

Submission history

From: Pramod N. Achar [view email]
[v1] Wed, 19 Dec 2018 13:01:20 UTC (35 KB)
[v2] Fri, 1 May 2020 03:18:34 UTC (35 KB)
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