82 citations · 404 across the 40 of their papers we have counts for
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Curvatures of moduli space of curves and applications
Kefeng Liu, Xiaofeng Sun, Xiaokui Yang +1
In this paper, we investigate the geometry of the moduli space of curves by using the curvature properties of direct image sheaves of vector bundles. We show that the moduli space…
Effective vanishing theorems for ample and globally generated vector bundles
Kefeng Liu, Xiaokui Yang
By proving an integral formula of the curvature tensor of $E\ts \det E$, we observe that the curvature tensor of $E\ts \det E$ is very similar to that of a line bundle and obtain c…
Curvatures of direct image sheaves of vector bundles and applications I
Kefeng Liu, Xiaokui Yang
Let $p:\sXS$ be a proper Kähler fibration and $\sE\sX$ a Hermitian holomorphic vector bundle. As motivated by the work of Berndtsson(\cite{Berndtsson09a}), by using basic Hodge the…
Collapsing of the Chern-Ricci flow on elliptic surfaces
Valentino Tosatti, Ben Weinkove, Xiaokui Yang
We investigate the Chern-Ricci flow, an evolution equation of Hermitian metrics generalizing the Kahler-Ricci flow, on elliptic bundles over a Riemann surface of genus greater than…