论文标题
Bertini定理承认基本变化
Bertini theorems admitting base changes
论文作者
论文摘要
给定代数品种上的无基点线性系统,在扩大基本场之后,在适当的成员身上稳定了许多类别的奇点。当碱环是出色的环时,我们会建立类似的结果。
Given a base point free linear system on an algebraic variety, many classes of singularities are stable under taking suitable members after enlarging the base field. We establish analogous results when the base ring is an excellent ring.