论文标题

理性地图和REES代数的纤维的基础理想

Fibers of rational maps and Rees algebras of their base ideals

论文作者

Hoa, Tran Quang, Phuong, Ho Vu Ngoc

论文摘要

我们考虑一个有理图$ ϕ:\ mathbb {p} _k^{m} \ dashrightarrow \ mathbb {p} _k^n $,这是$ m $ diepermentional varret的参数化。我们的主要目标是研究$(M-1)$ - 尺寸纤维$ ϕ $与$ M $ $ th的本地共同体学模块有关的基本理想的本地同居模块。

We consider a rational map $ϕ: \mathbb{P}_k^{m} \dashrightarrow \mathbb{P}_k^n$ that is a parameterization of an $m$-dimensional variety. Our main goal is to study the $(m-1)$-dimensional fibers of $ϕ$ in relation to the $m$-th local cohomology modules of the Rees algebra of its base ideal.

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