Xiaotao Sun

activity

20022017

most citedDirect images of bundles under Frobenius morphisms

47 citations · 65 across the 6 of their papers we have counts for

collaborators

6 papers

math.AG2017★ 4 cited

Factorization of generalized Theta functions revisited

Xiaotao Sun

This survey is based on my lectures given in last a few years. As a reference, constructions of moduli spaces of parabolic sheaves and generalized parabolic sheaves are provided. B…

math.AG2006★ 47 cited

Direct images of bundles under Frobenius morphisms

Xiaotao Sun

Let $X$ be a smooth projective variety of dimension $n$ over an algebraically closed field $k$ with $char (k) = p > 0$ and $F : X \to X_{1}$ be the relative Frobenius morphism. For any…

math.AG2006★ 4 cited

Stability of direct images under Frobenius morphism

Xiaotao Sun

Let $X$ be a smooth projective variety over an algebraically field $k$ with $char (k) = p > 0$ and $F : X \to X_{1}$ be the relative Frobenius morphism. When $dim (X) = 1$ , we prove…

math.AG2003

Minimal rational curves in moduli spaces of stable bundles

Xiaotao Sun

In this short note, we show that any rational curve passing through the generic point in a moduli space of stable bundles with rank $r$ and fixed determinant on a smooth projective…

math.AG2003

Hitchin's connection and differential operators with values in the determinant bundle

Xiaotao Sun, I-Hsun Tsai

Let $C / M$ be a local universal family of smooth curves and $S / M$ be the family of moduli spaces of stable bundles with a fixed determinant on curves. In this paper, we find locally…

math.AG2002★ 10 cited

Families of K3 surfaces over curves satisfying the equality of Arakelov-Yau's type and modularity

Xiaotao Sun, Sheng-Li Tan, Kang Zuo

Let $f : X \to C$ be a family of semistable K3 surfaces with non-empty set $S$ of singular fibres having infinite local monodromy. Then, when the so called Arakelov-Yau inequality rea…