3–13 Jun 2024
Department of Mathematics, University of Pisa
Europe/Rome timezone

On relative singular support in mixed characteristic

13 Jun 2024, 10:00
1h
Aula magna di Scienze area Pontecorvo

Aula magna di Scienze area Pontecorvo

Speaker

Takeshi Saito (University of Tokyo)

Description

The notion of micro support in mixed characteristic is formulated using the Frobenius--Witt cotangent bundle but the existence of the singular support is not yet known. We introduce a relative notion of micro support over a fixed regular scheme S and prove the existence of a saturation of the relative singular support on smooth schemes over S. The proof is a variation of that by Beilinson using the Radon transform.

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