43 citations · 285 across the 75 of their papers we have counts for
22 papers · 1 filter
A Comparison Theorem For The Pro-étale Fundamental Group
Jiu-Kang Yu, Lei Zhang
In this paper, we construct a comparison map from the topological fundamental group to the pro-étale fundamental group for a complex variety.
A theorem on meromorphic descent and the specialization of the pro-étale fundamental group
Marcin Lara, Jiu-Kang Yu, Lei Zhang
Given a Noetherian formal scheme over , where is a complete DVR, we first prove a theorem of meromorphic descent along a possibly infinite cover of $\hat…
Drinfeld-Lau Descent over Fibered Categories
Valentina Di Proietto, Fabio Tonini, Lei Zhang
Let be a category fibered in groupoids over a finite field , and let be an algebraically closed field containing . Denote by $ϕ_k\col…
Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic
Lei Zhang
This paper aims to investigate effectivity problems of pluricanonical systems on varieties of general type in positive characteristic. In practice, we will consider a sub-linear sy…
A generalized Abhyankar's conjecture for simple Lie algebras in characteristic
Shusuke Otabe, Fabio Tonini, Lei Zhang
In the present paper, we study a purely inseparable counterpart of Abhyankar's conjecture for the affine line in positive characteristic, and prove its validity for all the finite…
Counterexamples to Fujita's conjecture on surfaces in positive characteristic
Yi Gu, Lei Zhang, Yongming Zhang
We present counterexamples to Fujita's conjecture in positive characteristics. Precisely, we show that over any algebraically closed field of characteristic and for any p…