Abstract

It is attractive to classify Fano varieties with various types of singularities that originated from the minimal model program. For a Fano variety, the Fano index is the largest integer m such that the anti-canonical divisor is Q-linearly equivalent to m times some Weil divisor. For Fano varieties of various singularities, I show the Fano indexes can grow double exponentially with respect to the dimension. Those examples are also conjecturally optimal and have a close connection with Calabi-Yau varieties of extreme behavior.

Speaker

I am a Hedrick Assistant Professor at UCLA Mathematics Department mentored by Burt Totaro.

I completed my PhD at Rutgers University-New Brunswick in 2020 under the supervision of Lev Borisov.

Research Interest:

Algebraic Geometry