broadcast in Room 515, Cosmology Bldg., NTU, Online seminar
(線上演講 於台大次震宇宙館515教室直播/收播)
Automorphisms of Families in Abelian Varieties
Alexandra Kuznetsova (Steklov Mathematical Institute)
Abstract
We consider a fibration X whose general fiber is an abelian variety and fix a fiberwise birational automorphism f of X. Then f restricts into a regular automorphism of a general fiber of the fibration since abelian varieties do not contain rational curves. Thus, f induces a family of regular automorphisms of abelian varieties. However sometimes f does not induce a regular automorphism on any birational model of the whole variety X i.e. there is no regularization of f. In my talk I will show that the existence of the regularization depends on the dynamical properties of f. The talk is based on the joint work with Charles Favre.
Link Information:
Zoom ID：838 7836 1163
Passcode：714285
