Algebraic Geometry Seminar
Milena Hering
University of Connecticut
Cox rings of toric bundles
Abstract: Section rings of arbitrary line bundles on toric varieties are
polytopal semigroup rings and thus
always finitely generated. A related question is whether the section ring
of
the Serre line bundle on the projectivization of a toric vector bundle is
always finitely
generated. It turns out that this is not the case. We show this by
finding toric vector bundles
whose Cox ring is a polynomial ring over the Cox ring of the blow up of
points in projective
space. The latter is well known not to be finitely generated in general.
This is joint work with José González, Sam Payne and Hendrik Süss.
Wednesday February 15, 2012 at 4:00 PM in SEO 427