4 papers · 1 filter
Toric vector bundles and the number of zeros of vertical systems
Carles Checa
We provide necessary and sufficient conditions for the specializations of a vertically parametrized polynomial system to attain the maximal number of complex nonzero solutions. To…
A sparse overview on sparse resultants
Carles Checa, Ioannis Z. Emiris, Christos Konaxis
In this survey, we give an overview of advances in the theory and computation of sparse resultants. First, we examine the construction and proof of the Canny-Emiris formula, which…
An effective criterion for multiple positive zeros of vertically parametrized polynomial systems
Carles Checa, Elisenda Feliu
We present an effective criterion for determining whether a (augmented) vertically parametrized polynomial system admits multiple positive zeros for some choice of parameter values…
Toric Sylvester forms
Laurent Busé, Carles Checa
In this paper, we investigate the structure of the saturation of ideals generated by sparse homogeneous polynomials over a projective toric variety with respect to the irreleva…