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arXiv · 2006.00448

Cotangent bundle and micro-supports in mixed characteristic case

Takeshi Saito
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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.

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Takeshi Saito. 2020-05-31. Cotangent bundle and micro-supports in mixed characteristic case. https://doi.org/10.2140/ant.2022.16.335

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