Planar configurations of lattice vectors and GKZ-rational toric fourfolds in P-6

Authors

E Cattani, University of Massachusetts - AmherstFollow
A Dickenstein

Publication Date

2004

Journal or Book Title

JOURNAL OF ALGEBRAIC COMBINATORICS

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.

Comments

This is the pre-published version harvested from ArXiv. The published version is located at http://www.springerlink.com/content/g9748750134p56r8/

Pages

47-65

Volume

19

Issue

1

Recommended Citation

Cattani, E and Dickenstein, A, "Planar configurations of lattice vectors and GKZ-rational toric fourfolds in P-6" (2004). JOURNAL OF ALGEBRAIC COMBINATORICS. 239.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/239