DiMaI - Dipartimento di Matematica e Informatica "Ulisse Dini"

Lawrence Ein (Univ. of Illinois, Chicago)

terrà un seminario Martedì 14 Giugno alle 11.30 nella sala conferenze Tricerri su

Asymptotic syzygies of algebraic varieties

ABSTRACT
This is joint work with Rob Lazarsfeld. We study the minimal resolution
of the coordinate ring of a smooth projective variety X, when X is embedded into a
projective space by a line bundle of the form L^d, where L is a very ample line bundle.
We study the behavior of the Koszul cohomologies, as d goes to infinity. We will also
discuss the syzygies of the d-Veronese embedding of the projective space.