Commutative Algebra and Algebraic Geometry: The Fellowship of the Ring: An overview of Bertini-type theorems

Seminar | February 11 | 5-6 p.m. | 939 Evans Hall

 Lauren Heller, UC Berkeley

 Department of Mathematics

A classical theorem of Bertini gives conditions under which a general member of a linear system of divisors is smooth. I will discuss this theorem and several variations of it, including generalizations by Zariski and Flenner and a recent paper of Ghosh and Krishna.