Author

Wan-Yuan Xu

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Preprint Sep 2026

Symmetric differentials on weighted hypersurfaces

We study symmetric differentials on weighted hypersurfaces. Let $k$ be an algebraically closed field and let $$ X_d\subset \mathbb{P}_k(a_0,\ldots,a_N),\qquad N\ge3, $$ be a weighted hypersurface, with $a_{\min}:=\min_i a_i$. In characteristic zero we prove twisted vanishing in the range $t<m a_{\min}$ for quasi-smooth...

Wan-Yuan Xu · 0 citations

Preprint Oct 2026

Arakelov inequalities for fibered surfaces in positive characteristic

Let $f:S\to C$ be a relatively minimal semistable fibration of genus $g\ge2$ over an algebraically closed field of characteristic $p>0$ with smooth and geometrically connected generic fiber. Let $\Sigma\subset C$ denote the set of points over which the fibers are singular, with $s=|\Sigma|$. If the total surface $S$ is...

H. Sun, Wan-Yuan Xu · 0 citations