Yi Gu

activity

20182020

collaborators

4 papers

math.AP2020

Degree Counting Theorems for 2x2 non-symmetric singular Liouville Systems

Yi Gu

Let $(M, g)$ be a compact Riemann surface with no boundary and $u = (u_{1}, u_{2})$ be a solution of the following singular Liouville system: $$Δ_g u_i+\sum_{j=1}^2 a_{ij}ρ_j(\frac{h_je^{u…

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.AP2018

Degree counting theorems for singular Liouville systems

Yi Gu, Lei Zhang

Let $(M, g)$ be a compact Riemann surface with no boundary and $u = (u_{1}, ..., u_{n})$ be a solution of the following singular Liouville system: \begin{equation*} Δ_g u_i+\sum_{j=1}^na_{i…