Cotangent bundle and micro-supports in mixed characteristic case

preprint2021arXivOpen access

Abstract

For a regular scheme and a prime number pp, we define the FW-cotangent bundle as a vector bundle on the closed subscheme defined by p=0p=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.

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