Graduate Algebraic Geometry Seminar
Xudong Zheng
UIC
Amplitude of Line Bundles and Fujita's Vanishing Theorem
Abstract: This talk continues on Section 1.4 of Positivity, vol I. Specifically, we shall discuss Kleiman's numerical criterion of ampleness of $\mathbb{R}$-divisors in terms of cones in the Néron-Severi space and its dual space of numerical classes of one cycles of the variety.
In the second part, we introduce Fujita's vanishing theorem and some applications. In particular, we show that the numerically trivial line bundles form a bounded family for a projective variety.
Monday February 24, 2014 at 4:00 PM in SEO 712