Publication

Arithmetic and geometric deformations of threefolds

Stefano Filipazzi, Fabio Bernasconi
2023
Journal Articles

Abstract

We show that mixed-characteristic and equicharacteristic small deformations of 3-dimensional canonical (resp., terminal) singularities with perfect residue field of characteristic p>5 are canonical (resp., terminal). We discuss applications to arithmetic and geometric families of 3-dimensional Fano varieties and minimal models with canonical singularities. Our results are contingent upon the existence of log resolutions for fourfolds.

Official source

https://infoscience.epfl.ch/entities/publication/2c6007a6-632b-4313-8297-df5d354a497b

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Arithmetic and geometric deformations of threefolds

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