Gale duality for complete intersections

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dc.creatorBihan, Frédéric
dc.creatorSottile, Frank
dc.date2007-06-26
dc.date2007-09-20
dc.date.accessioned2026-07-07T08:30:43Z
dc.date.available2026-07-07T08:30:43Z
dc.descriptionWe 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.
dc.description11 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0706.3745
dc.identifierhttp://arxiv.org/abs/0706.3745
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138308
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14M25, 14P25, 52C35
dc.titleGale duality for complete intersections
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