Seminar

Language English
From 2013/12/20 10:30
To 2013/12/20 12:00
PlaceRoom 152, Building No.3, Faculty of Science, Kyoto University
Seminar NameAlgebra Geometrical Seminar
Title Weak Borisov-Alexeev-Borisov conjecture for some 3-fold Mori Fiber spaces　
Field Algebra
Geometry
SpeakersChen Jiang
AffiliationThe University of Tokyo
AbstractWe investigate weak BAB conjecture, that is, the boundedness of the anti-canonical
volumes of -klt log Fano varieties. We prove that weak BAB for Mori fiber spaces
implies weak BAB. Furthermore, we investigate -klt log Fano
3-folds with some Mori fiber space structure, more precisely, with a
del Pezzo fibration structure, or a conic bundle structure over
projective plane. We give a sharp bound for the log anti-canonical
volumes of such pairs. The method is constructing non-klt centers and
using connectedness lemma.
Linkhttp://www.math.kyoto-u.ac.jp/~abetaku/agseminar.htm