Chennai Mathematical Institute

Seminars




3.30 p.m.
Higher Chow cycles on Abelian surfaces

Ramesh Sreekantan
ISI Bangalore.
15-10-12


Abstract

In this talk we use generalizations of beautiful classical geometric constructions of Kummer and Humbert to construct new higher Chow cycles on Abelian surfaces and K3 surfaces over p-adic local fields, generalising some work of Collino. The existence of these cycles is predicted by the poles of the local L-factor at p of the L-function of the Abelian surface. The techniques involve using some recent work of Bogomolov-Hassett and Tschinkel on the deformations of rational curves on K3 surfaces.





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