Cotangent bundle and micro-supports in mixed characteristic case

DOI10.2140/ANT.2022.16.335arXiv2006.00448WikidataQ114045512 ScholiaQ114045512MaRDI QIDQ6341768

Takeshi Saito

Publication date: 31 May 2020

Abstract: For a regular scheme and a prime number $p$, we define the FW-cotangent bundle as a vector bundle on the closed subscheme defined by $p=0$, under a certain finiteness condition. For a constructible complex on the etale site of the scheme, we introduce the condition to be micro-supported on a closed conical subset in the FW-cotangent bundle. At the end of the article, we compute the singular supports in some cases.

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20)

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