4 papers
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…
Trivariate Splines on Fans of Hyperplane Arrangements and Koszul Homology
Carles Checa, Michael DiPasquale, Pablo Mazón +5
We study the space of splines where denotes a smoothness distribution and is the fan of a central hyperplan…
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…
Solving bihomogeneous polynomial systems with a zero-dimensional projection
Matías Bender, Laurent Busé, Carles Checa +1
We study bihomogeneous systems defining, non-zero dimensional, biprojective varieties for which the projection onto the first group of variables results in a finite set of points.…