Volumes of Line Bundles on Algebraic Varieties
Alex Wolfe, University of Michigan

We describe an invariant for line bundles L on an algebraic variety X, the volume, that is closely related to the Riemann-Roch problem. It descends to a continuous function on real homology classes of divisors on X, and a natural question is to compute what the function is and see what it tells us about X. We will give some answers to such questions for projective bundles.