超凯勒流形上非刚性模向量丛的例

双曲性性质的标记超kähler流形模空间

Hyperbolicity properties of moduli spaces of marked hyperk{ä}hler manifolds

研究标记超kähler流形模空间的双曲性性质，证明Kobayashi伪距离消失，并推广Greb和Schwald的定理到任意维数和非紧曲线情况。

hyperkähler 流形的抛物自同构：轨道与 Betti 映射

Parabolic automorphisms of hyperk{ä}hler manifolds: Orbits and Betti maps

本文研究了带有 lagrangian 纤维的不可约 holomorphically symplectic 流形的抛物自同构，证明了相关 Betti 映射具有最大秩，从而得出诱导平移为有限阶的纤维集合是稠密的。

Cotangent bundles of toric varieties and coverings of toric hyperkähler manifolds

Toric hyperk{ä}hler manifolds are quaternion analog of toric varieties. Bielawski pointed out that they can be glued by cotangent bundles of toric varieties. Following his idea, viewing both toric varieties and toric hyperk{ä}her manifolds as GIT quotients, we first establish geometrical criteria for the semi-stable points. Then based on these criteria, we show that the cotangent bundles of compact toric varieties in the core of toric hyperk{ä}hler manifold are sufficient to glue the desired toric hyperk{ä}hler manifold.

关于Calabi-Yau流形的超越无基点猜想的一个注记

A note on the transcendental basepoint-free conjecture for Calabi-Yau manifolds

本文证明Calabi-Yau流形的超越无基点猜想在其Beauville-Bogomolov分解的超Kähler因子上成立时即成立，并利用Bakker-Lehn收缩定理在超Kähler流形上给出该猜想成立的一个充分条件。

Manifolds of low dimension with trivial canonical bundle in Grassmannians

We study fourfolds with trivial canonical bundle which are zero loci of sections of homogeneous, completely reducible bundles over ordinary and classical complex Grassmannians. We prove that the only HyperK{ä}hler fourfolds among them are the example of Beauville and Donagi, and the example of Debarre and Voisin. In doing so, we give a complete classification of those varieties. We include also the analogous classification for surfaces and threefolds.

$K3^{[n]}$ 型超凯勒簇上的刚性稳定向量丛

Rigid stable vector bundles on hyperkähler varieties of type $K3^{[n]}$

本文证明了 $K3^{[n]}$ 型超凯勒簇上满足特定离散不变量的斜率稳定向量丛的存在唯一性，并可能完整列出了具有20个模量的此类簇上的刚性射影超全纯向量丛。