Chennai Mathematical Institute

Seminars




2.00 pm, Lecture Hall 3
Kunz's theorem

Nirmal Kotal
Chennai Mathematical Institute.
29-05-19


Abstract

Let R be a Noetherian local ring of prime characteristic p. The Frobenious ring map R is the map r \mapsto r^p. Kunz's theorem states that R is a regular ring if and only if the Frobenious map is flat. In this talk, we will prove the theorem and then see some corollaries.