报告题目：On the Simultaneous Generation of Jets of the Adjoint Bundles

报 告 人：张永明（复旦大学博士后）

报告时间：2018年4月19日，15：00

报告地点：数学实验室

摘要：Let $X$ be a projective variety of dimension $n$, and $L$ an ample and free line bundle on $X$. we investigate the problem of simultaneously generations of $r$-jets of $\omega_X\otimes L^{\otimes m}$. It turns out that in this case, the lower bound of $m$ for which $\omega_X\otimes L^{\otimes m}$ generates $r$-jets simultaneously is optimistic, i.e. $m\geq f(r)=n+r+1$, which is linear in $r$. Our results work over an arbitrary characteristic field. We also treat the case when $X$ is singular where $\omega_X$ is replaced by the pushforward of canonical sheaves or the cohomology sheaves of dualizing complexes. This is a joint work with J.Shentu.

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注：本次讲座将纳入数学系继续教育课程。

理学院

2018年4月18日