Semistable sheaves and comparison isomorphisms in the semistable case

2012/12/16 by Andreatta, Fabrizio, Iovita, Adrian · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1212.3811

Abstract

For a smooth proper scheme over a local field of mixed characteristics which has semistable reduction we define the category of its semistable etale sheaves and under certain hypothesis we prove the appropriate semistable comparison isomorphisms.

Cited by

• Potential semistability of Finite height Galois representations: Relative case

Related

• Comparison Isomorphisms for Smooth Formal Schemes
• Semistability conditions defined by ample classes
• Moduli of PT-semistable objects II
• Semistable reduction in characteristic 0
• Relative singular support and the semi-continuity of characteristic cycles for étale sheaves