Lei Zhang

collaborators

3 papers

math.AG2026

Isocrystals on unibranch varieties and open immersions

Adrian Langer, Lei Zhang

We prove that for a connected, geometrically unibranch variety $X$ over a perfect field of positive characteristic and a dense open subset $U \subset X$ , the canonical homomorphism…

math.AG2025

$F$ -divided bundles on normal $F$ -finite schemes

Adrian Langer, Lei Zhang

In this paper we study $F$ -divided bundles on irreducible Noetherian normal $F$ -finite $F_{p}$ -schemes and we show that their Tannakian category is governed by the behaviour…

math.AG2025

The étale fundamental group and $F$ -divided sheaves in characteristic $p > 0$

Xiaotao Sun, Lei Zhang

We investigate how the étale fundamental group controls local systems in characteristic $p$ , namely $F$ -divided sheaves. In analogy with Grothendieck-Malcev's results for discrete…

Isocrystals on unibranch varieties and open immersions

F-divided bundles on normal F-finite schemes

The étale fundamental group and F-divided sheaves in characteristic p>0

$F$ -divided bundles on normal $F$ -finite schemes

The étale fundamental group and $F$ -divided sheaves in characteristic $p > 0$