Gale duality for complete intersections Institutional Repository Document uri icon

abstract

  • We show that every complete intersection of Laurent polynomials in an algebraic torus is isomorphic to a complete intersection of master functions in the complement of a hyperplane arrangement, and vice versa. We call this association Gale duality because the exponents of the monomials in the polynomials annihilate the weights of the master functions. We use Gale duality to give a Kouchnirenko theorem for the number of solutions to a system of master functions and to compute some topological invariants of generic master function complete intersections.

author list (cited authors)

  • Bihan, F., & Sottile, F.

citation count

  • 0

complete list of authors

  • Bihan, Frédéric||Sottile, Frank

Book Title

  • arXiv

publication date

  • June 2007