Abstract:
I will discuss a connection between Seshadri constants of line bundles
on projective varieties, and successive minima of a 0-symmetric convex
body with respect to a lattice. We introduce the successive minima
of a line bundle on a projective variety, such that the last minima is
the Seshadri constant. We show the analogue of Minkowski's second
theorem, namely that the volume of a line bundle is proportional with
the product of its successive minima at a very general point. Based on
joint work with Atsushi Ito.
