3 papers
math.RT2026
Jordan-Chevalley decompositions over imperfect fields
Fabian Hebestreit, Manuel Hoff, Werner Hoffmann
We give a classification of Jordan-Chevalley decompositions of an endomorphism of a finite-dimensional vector space over a not necessarily perfect field, i.e. additive decompositio…
math.AC2025
A note on higher almost ring theory
Fabian Hebestreit, Peter Scholze
We explain a derived version of the basic construction of localisations of module categories by means of idempotent ideals, which lie at the heart of Faltings' almost ring theory.…
math.CT2024
A short proof that Rezk's nerve is fully faithful
Fabian Hebestreit, Jan Steinebrunner
We give a simple proof that complete Segal animae are equivalent to categories.