Chern Numbers of Ample Vector Bundles on Toric Surfaces
Sandra Di Rocco, Andrew J. Sommese
Abstract
Let be an ample rank r bundle on a smooth toric projective surface, S, whose topological Euler characteristic is e(S). In this article, we prove a number of surprisingly strong lower bounds for c1()2 and c2(). We also enumerate the exceptions to either the inequality c1()2 4e(S) or the inequality c2() e(S) holding.
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