报告时间：11月25日下午3:00-4：30

报告形式：腾讯会议 403304763

摘要：Jet ampleness of line bundles generalizes very ampleness by requiring the existence of enough global sections to separate not just points and tangent vectors, but also their higher order analogues called jets. We give sharp bounds guaranteeing that a line bundle on a projective toric variety is k-jet ample in terms of its intersection numbers with the invariant curves,in terms of the lattice lengths of the edges of its polytope and in terms of the higher concavity of its piecewise linear function.  As an application, we prove the k-jet generalizations of Fujita’s conjectures on toric varieties with arbitrary singularities.

报告人简历： 博士毕业于美国密歇根大学， 之后在韩国高等研究院、加州大学河滨分校做博后，期间访问了比利时鲁汶大学一年。现在在首都师范大学任特聘副研究员。研究方向是代数几何。关于5维的Fujita freeness猜想的工作最近发表在Advances in Math。