Mingshuo Zhou

activity

20122026

most citedSlope inequalities and a Miyaoka-Yau type inequality

3 citations · 10 across the 13 of their papers we have counts for

collaborators

13 papers

math.AG2026

Moduli spaces and the algebra of conformal blocks

Yanglong Zhang, Mingshuo Zhou

For a classical simple and simply connected group $G$ , let $M_{G, ω}$ be the moduli space of $ω$ -semistable parabolic $G$ -bundles on a complex smooth projective curve of g…

math.AG2023★ 1 cited

Frobenius splitting of moduli spaces of parabolic bundles

Xiaotao Sun, Mingshuo Zhou

Let $C$ be a nonsingular projective curve over an algebraically closed field of characteristic $p > 0$ and $I \subset C$ be a finite set. If $U_{C, ω}$ denotes the moduli s…

cs.IT2022★ 1 cited

Generalized Singleton Type Upper Bounds

Hao Chen, Longjiang Qu, Chengju Li +2

In this paper, we give upper bounds on the sizes of $(d, L)$ list-decodable codes in the Hamming metric space from covering codes with the covering radius smaller than or equal to…

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★ 2 cited

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★ 3 cited

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★ 1 cited

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.AG2016

Remarks on Xiao's approach of Slope inequalities

Hao Sun, Xiaotao Sun, Mingshuo Zhou

We prove the slope inequality for a relative minimal surface fibration in positive characteristic via Xiao's approach. We also prove a better low bound for the slope of non-hyperel…

math.AG2014

Stability of Frobenius direct images over surfaces

Congjun Liu, Mingshuo Zhou

Let $X$ be a smooth projective surface over an algebraically closed field $k$ of characteristic $p > 0$ with $Ω_{X}^{1}$ semistable and $μ (Ω_{X}^{1}) > 0$ . For any semistable (resp. s…

math.AG2013

Rational curves and lines on the moduli space of stable bundles

Mingshuo Zhou

Fix a smooth projetive curve $C$ of genus $g \geq 2$ and a line bundle $L$ on $C$ of degree $d$ . Let $M := S U_{C} (r, L)$ …

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…

math.AG2012

Stable bundles as Frobenius morphism direct image

Congjun Liu, Mingshuo Zhou

Let X be a smooth projective curve of genus $g \geq 2$ defined over an algebraically closed field k of characteristic $p > 0$ and let $F : X \to X_{1}$ be the relative k-linear F…