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Article
Planar configurations of lattice vectors and GKZ-rational toric fourfolds in P-6
JOURNAL OF ALGEBRAIC COMBINATORICS
Publication Date
2004
Abstract
We introduce a notion of balanced configurations of vectors. This is motivated by the study of rational A-hypergeometric functions in the sense of Gelfand, Kapranov and Zelevinsky. We classify balanced configurations of seven plane vectors up to GL(2,)-equivalence and deduce that the only gkz-rational toric four-folds in 6 are those varieties associated with an essential Cayley configuration. We show that in this case, all rational A-hypergeometric functions may be described in terms of toric residues. This follows from studying a suitable hyperplane arrangement.
Pages
47-65
Citation Information
E Cattani and A Dickenstein. "Planar configurations of lattice vectors and GKZ-rational toric fourfolds in P-6" JOURNAL OF ALGEBRAIC COMBINATORICS Vol. 19 Iss. 1 (2004) Available at: http://works.bepress.com/eduardo_cattani/5/
This is the pre-published version harvested from ArXiv. The published version is located at http://www.springerlink.com/content/g9748750134p56r8/