1 citations · 1 across the 4 of their papers we have counts for
4 papers
Ogus's conjecture on F-isocrystals
Haoyang Guo
In 1984, Ogus conjectured the existence of a canonical F-isocrystal that enhances the Gauss--Manin connection, for a proper relative rigid space with analytically good reduction. W…
The Tate conjecture for surfaces of geometric genus one -- embracing singularities
Haoyang Guo, Ziquan Yang
In this article, we aim to largely complete the program of proving the Tate conjecture for surfaces of geometric genus one, by introducing techniques to analyze those surfaces whos…
Pointwise criteria of p-adic local systems
Haoyang Guo, Ziquan Yang
Given a Z_p-linear local system over a smooth rigid space, we show that it is crystalline (resp. semi-stable) with respect to any smooth (resp. semi-stable) integral model if and o…
Frobenius height of prismatic cohomology with coefficients
Haoyang Guo, Shizhang Li
We study the behavior of Frobenius operators on smooth proper pushforwards of prismatic F-crystals. In particular we show that the i-th pushforward has its Frobenius height increas…