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math.AG2025
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…
math.AC2025
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.…