The alpha invariant of toric log Fano varieties

Florin Ambro

We will present a formula for the alpha invariant of a toric line bundle. For toric log Fano varieties, we show that if the global minimal log discrepancy is bounded away from 0, then the alpha invariant of the anti canonical divisor is bounded away from 0 as well.

http://scgp.stonybrook.edu/video_portal/video.php?id=2256

Simons- Program: Moduli spaces and singularities in algebraic and Riemannian geometry