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4 papers · 2 filters
Weyl closure of hypergeometric systems
Laura Felicia Matusevich
We show that A-hypergeometric systems and Horn hypergeometric systems are Weyl closed for very generic parameters.
Bounds on the number of real solutions to polynomial equations
Daniel J. Bates, Frédéric Bihan, Frank Sottile
We use Gale duality for polynomial complete intersections and adapt the proof of the fewnomial bound for positive solutions to obtain the bound (e^4+3) 2^(k choose 2) n^k/4 for the…
Gale duality for complete intersections
Frédéric Bihan, Frank Sottile
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…
Linear precision for parametric patches
Luis Garcia-Puente, Frank Sottile
We give a precise mathematical formulation for the notions of a parametric patch and linear precision, and establish their elementary properties. We relate linear precision to the…