Yi Gu

activity

20142020

most citedSlope inequalities and a Miyaoka-Yau type inequality

3 citations · 9 across the 8 of their papers we have counts for

collaborators

8 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.AG2020★ 1 cited

Surface fibrations with large equivariant automorphism group

Yi Gu

For a relatively minimal surface fibration $f : X \to C$ , the equivariant automorphism group of $f$ is, roughly speaking, the group of automorphisms of $X$ preserving the fibration s…

math.AG2020

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 $k$ of characteristic $p > 0$ and for any p…

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.AP2018★ 1 cited

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…

math.AG2014★ 2 cited

On algebraic surfaces of general type with negative c2

Yi Gu

We prove that for any prime number $p \geq 3$ , there exists a positive number $κ_{p}$ such that $χ (O_{X}) \geq κ_{p} c_{1}^{2}$ holds true for all algebraic surfaces $X$ of general type…

math.AG2014

On Pluri-canonical Systems of Arithmetic Surfaces

Yi Gu

Let $S$ be a Dedekind scheme with perfect residue fields at closed points, let $f : X \to S$ be a minimal regular arithmetic surface of fibre genus at least $2$ and let $f':…