Mao Sheng

activity

20072026

most citedPolarized Variation of Hodge Structures of Calabi-Yau Type and Characteristic Subvarieties Over Bounded Symmetric Domains

24 citations · 96 across the 38 of their papers we have counts for

collaborators

Showing 2012Show all

5 papers · 1 filter

math.AG2012

Maximal families of Calabi-Yau manifolds with minimal length Yukawa coupling

Mao Sheng, Jinxing Xu, Kang Zuo

For each natural odd number $n \geq 3$ , we exhibit a maximal family of $n$ -dimensional Calabi-Yau manifolds whose Yukawa coupling length is one. As a consequence, Shafarevich's conj…

math.AG2012★ 11 cited

Semistable Higgs bundles and representations of algebraic fundamental groups: Positive characteristic case

Guitang Lan, Mao Sheng, Kang Zuo

Let $k$ be an algebraic closure of finite fields with odd characteristic $p$ and a smooth projective scheme $X / W (k)$ . Let $X^{0}$ be its generic fiber and $X$ the c…

math.AG2012★ 2 cited

Periodic Higgs subbundles in positive and mixed characteristic

Mao Sheng, Kang Zuo

Let $k$ be an algebraically closed field of odd characteristic $p$ and $X$ a proper smooth scheme over the Witt ring $W (k)$ . To an object $(M, F i l^{\cdot}, \nabla, Φ)$ in the Faltings…

math.AG2012★ 5 cited

An inverse Cartier transform via exponential in positive characteristic

Guitang Lan, Mao Sheng, Kang Zuo

Let $k$ be a perfect field of odd characteristic $p$ and $X_{0}$ a smooth connected algebraic variety over $k$ which is assumed to be $W_{2} (k)$ -liftable. In this short note we associa…

math.AG2012★ 3 cited

A note on the characteristic $p$ nonabelian Hodge theory in the geometric case

Mao Sheng, Xin He, Kang Zuo

We provide a construction of associating a de Rham subbundle to a Higgs subbundle in characteristic $p$ in the geometric case. As applications, we obtain a Higgs semistability resu…

Maximal families of Calabi-Yau manifolds with minimal length Yukawa coupling

Semistable Higgs bundles and representations of algebraic fundamental groups: Positive characteristic case

Periodic Higgs subbundles in positive and mixed characteristic

An inverse Cartier transform via exponential in positive characteristic

A note on the characteristic p nonabelian Hodge theory in the geometric case

A note on the characteristic $p$ nonabelian Hodge theory in the geometric case