Graduate Algebraic Geometry Seminar
Alex Stathis
UIC
Volume of Line Bundles: measuring how much space big things take up
Abstract: The volume of a line bundle on a smooth projective variety is an asymptotic birational invariant which is closely related to classical birational invariants. We’ll define and discuss the volume following the exposition of Ein, Lazarsfeld, Mustata, Nakayame, and Popa in “Asymptotic Invariants of Line Bundles” (ELMNP). I’ll attempt to fill in the details left out by ELMNP and work some examples fully. An alternative reference is Lazarsfeld’s “Positivity in Algebraic Geometry: Volume 1”.
Wednesday January 21, 2015 at 3:00 PM in SEO 712