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SOME COMBINATORICS OF BINOMIAL COEFFICIENTS AND THE BLOCH-GIESEKER PROPERTY FOR SOME HOMOGENEOUS BUNDLES (2001)
by
Mei-chu Chang
BibTeX
@MISC{Chang01somecombinatorics,
author = {Mei-chu Chang},
title = {SOME COMBINATORICS OF BINOMIAL COEFFICIENTS AND THE BLOCH-GIESEKER PROPERTY FOR SOME HOMOGENEOUS BUNDLES},
year = {2001}
}
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Abstract
Abstract. A vector bundle has the Bloch-Gieseker property if all its Chern classes are numerically positive. In this paper we show that the non-ample bun-dle pPn (p+ 1) has the Bloch-Gieseker property, except for two cases, in which the top Chern classes are trivial and the other Chern classes are positive. Our method is to reduce the problem to showing, e.g. the positivity of the coe-cient of tk in the rational function (1+t) (np)(1+3t)( n
