Work

The Primitive Comparison Theorem in characteristic p

Year: 2024

Type: article

Abstract: We prove an analogue of Scholze’s Primitive Comparison Theorem for proper rigid spaces over an algebraically closed non-archimedean field K of characteristic p. This implies a v-topological version of the Primitive Comparison Theorem for proper finite type morphisms $$f{:}\,X\rightarrow Y$$ f : X → Y of analytic adic spaces over $$\mathbb {Z}_p$$ Z p . We deduce new cases of the Proper Base Change Theorem for p-torsion coefficients and the Künneth formula in this setting.

Source: Mathematische Zeitschrift

DOI: 10.1007/s00209-024-03613-6

Author: Ben Heuer

Institution: Goethe University Frankfurt

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Deutsche Forschungsgemeinschaft