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Bezoutians and Tate Resolutions

2006/06/19 by David A. Cox, Cox, David A.
Mathematics · #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13D02 #Secondary 14F05 #math.AC #msc:13D02 #msc:14F05

paper · pdf · doi:10.48550/arxiv.math/0606463

11 pages, LaTex2e using xypic

arxiv created 2006/06/19 · arxiv updated 2009/12/01

Abstract

This paper gives an explicit construction of the Tate resolution of sheaves arising from the d-fold Veronese embedding of Pn. Our description involves the Bezoutian of n+1 homogenous forms of degree d in n+1 variables. We give applications to duality theorems, including Koszul duality.

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