Chern Numbers of Ample Vector Bundles on Toric Surfaces

dc.creatorDi Rocco, Sandra
dc.creatorSommese, Andrew J.
dc.date1999-11-24
dc.date.accessioned2026-07-07T05:31:55Z
dc.date.available2026-07-07T05:31:55Z
dc.descriptionLet $\sE$ 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 $c_1(\sE)^2$ and $c_2(\sE)$. We also enumerate the exceptions to either the inequality $c_1(\sE)^2\ge 4e(S)$ or the inequality $c_2(\sE)\ge e(S)$ holding.
dc.descriptionLatex file, 13 pages
dc.identifierhttps://arxiv.org/abs/math/9911192
dc.identifierhttp://arxiv.org/abs/math/9911192
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79474
dc.subjectAlgebraic Geometry
dc.subject14J60; 14M
dc.titleChern Numbers of Ample Vector Bundles on Toric Surfaces
dc.typetext

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