Yi Gu

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20182020

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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…