Mingshuo Zhou

activity

20122020

most citedThe H_N filtration of bundles as Frobenius pull-back

2 citations · 2 across the 4 of their papers we have counts for

collaborators

7 papers

math.AG2020

A finite dimensional proof of Verlinde Formula

Xiaotao Sun, Mingshuo Zhou

We prove two recurrence relations among dimensions $D_{g} (r, d, ω) := dim H^{0} (U_{C, ω}, Θ_{U_{C, ω}})$ of spaces of generalized theta functions on mod…

math.AG2020

Globally F-regular type of Moduli spaces

Xiaotao Sun, Mingshuo Zhou

We prove moduli spaces of semistable parabolic bundles and generalized parabolic sheaves with fixed determinant on a smooth projective curve are globally $F$ -regular type.

math.AG2019

Surfaces on the Severi line in positive characteristics

Yi Gu, Xiaotao Sun, Mingshuo Zhou

Let $X$ be a minimal surface of general type over an algebraically closed field $k$ of $char . (k) = p \geq 0$ . If the Albanese morphism $a_X:X\to \mathrm{Alb}…

math.AG2019

Slope inequalities and a Miyaoka-Yau type inequality

Yi Gu, Xiaotao Sun, Mingshuo Zhou

For a minimal smooth projective surface $S$ of general type over a field of characteristic $p > 0$ , we prove that $K_{S}^{2} \leq 32 χ (O_{S}) .$ Moreover, if $18χ(\cal{O}_S)<K^2_S\le 32χ…

math.AG2018

Globally F-regular type of moduli spaces and Verlinde formula

Xiaotao Sun, Mingshuo Zhou

We prove that moduli spaces of semistable parabolic bundles and generalized parabolic sheaves (GPS) with a fixed determinant on a smooth projective curve are globally F-regular typ…

math.AG2012★ 2 cited

The H_N filtration of bundles as Frobenius pull-back

Mingshuo Zhou

Let X be a smooth projective curve over an algebraic closed field of characteristic p and F be the Frobenius morphism of X. Here, I give a negative answer to the guess that the len…