Title:Bounding volumes of singular Fano threefolds

Speaker: Ching-Jui Lai (Purdue University)

Time: Tuesday June 26, 2012 16:00 - 17:00

Venue: Room 09 at Quan-Zhai (全斋), BICMR, Peking University

Abstract: For the set of three dimensional QQ-factorial epsilon-klt QQ-Fano variety of Picard number one, we show that there is an effective bound of the anticanonical volume Vol(-K_X)=-K_X^3leq M(3,epsilon) depending only on epsilon. This result is related to the Borisov-Alexeev-Borisov conjecture which asserts boundedness of the set of n-dimensional epsilon-klt log QQ-Fano varieties.