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Unusual
functorialities for weakly constructible sheaves
Andreas Hohl and Pierre Schapira |
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Vol. 334 (2025), No. 1, 153–166
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Abstract |
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We prove that various morphisms related to the six Grothendieck operations on sheaves become isomorphisms when restricted to (weakly) constructible sheaves. To this end, we first study some properties of weakly cohomologically constructible sheaves. We then deduce several compatibilities of the six operations in the context of (weakly) -constructible sheaves. |
Keywords
constructible sheaves, six-functor formalism, ind-objects
and pro-objects, subanalytic sets
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Mathematical Subject Classification
Primary: 18G80, 32B20, 32S60
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Milestones
Received: 18 June 2024
Revised: 30 December 2024
Accepted: 2 January 2025
Published: 31 January 2025
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Authors |
| Andreas Hohl | |
| Université Paris Cité and Sorbonne
Université CNRS, IMJ-PRG Paris France |
Fakultät für Mathematik Technische Universität Chemnitz Chemnitz Germany |
| Pierre Schapira | |
| Sorbonne Université CNRS, IMJ-PRG Paris France |
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| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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