Chengxi Wang (UCLA)

Chengxi Wang (UCLA)
16 November 2023
"Fano varieties with extreme behaviour"
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 behaviour.
Slides for this talk are available at:
kasprzyk.work/...
Visit the Online Algebraic Geometry Seminar webpage at:
kasprzyk.work/...