Document Type

Article

Publication Date

2005

Publication Title

Annales de l'institut Fourier

Abstract

In this paper we investigate the problem of finding an explicit element whose toric residue is equal to one. Such an element is shown to exist if and only if the associated polytopes are essential. We reduce the problem to finding a collection of partitions of the lattice points in the polytopes satisfying a certain combinatorial property. We use this description to solve the problem when n=2 and for any n when the polytopes of the divisors share a complete flag of faces. The latter generalizes earlier results when the divisors were all ample

DOI

10.5802/aif.2106

Version

Publisher's PDF

Volume

55

Issue

2

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Included in

Mathematics Commons

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