Next: Introduction
Visibility of ShafarevichTate Groups of
Abelian Varieties
Amod Agashe
University of Texas
Austin, TX
[email protected]

William Stein
Harvard University
Cambridge, MA
[email protected]
Date: February 24, 2002
Abstract:
We investigate Mazur's notion of visibility of elements of
ShafarevichTate groups of abelian varieties. We give a proof that
every cohomology class is visible in a suitable abelian variety,
discuss the visibility dimension, and describe a construction of
visible elements of certain ShafarevichTate groups. This
construction can be used to give some of the first evidence for the
Birch and SwinnertonDyer Conjecture for abelian varieties of large
dimension. We then give examples of visible and invisible
ShafarevichTate groups.
William A Stein
20020227