Research Seminar 3
Date/Time: 15.09.2021, 12:00 pm.
On a relationship of test ideal and F-rationality of Proj of the Rees algebra
Nirmal Kotal
Chennai Mathematical Institute.
15-09-21

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Abstract

Hara and Yoshida introduced the notion of generalized test ideal $\tau(a)$ associate to an ideal $a$ of a prime characteristic ring R, analogous to test ideal $\tau(R)$ and showed the correspondence of the test ideal $\tau(\mathfrak{a})$ and the multiplier ideal associated to $a$ in normal Q-Gorenstein rings reduced from characteristic zero to sufficiently large prime characteristic. In this talk, we will discuss a relationship of test ideal $\tau(a)$ and F-rationality of Proj of the Rees algebra. We also discuss some examples which counter some questions.