23 citations · 92 across the 39 of their papers we have counts for
17 papers · 1 filter
Degree and birationality of multi-graded rational maps
Laurent Busé, Yairon Cid-Ruiz, Carlos D'Andrea
We give formulas and effective sharp bounds for the degree of multi-graded rational maps and provide some effective and computable criteria for birationality in terms of their alge…
The geometry of the flex locus of a hypersurface
Laurent Busé, Carlos D'Andrea, Martin Sombra +1
We give a formula in terms of multidimensional resultants for an equation for the flex locus of a projective hypersurface, generalizing a classical result of Salmon for surfaces. U…
A Poisson formula for the sparse resultant
Carlos D'Andrea, Martin Sombra
We present a Poisson formula for sparse resultants and a formula for the product of the roots of a family of Laurent polynomials, which are valid for arbitrary families of supports…
Rational plane curves parameterizable by conics
Teresa Cortadellas Benitez, Carlos D'Andrea
We introduce the class of rational plane curves parameterizable by conics as an extension of the family of curves parameterizable by lines (also known as monoid curves). We show th…
Heights of varieties in multiprojective spaces and arithmetic Nullstellensatze
Carlos D'Andrea, Teresa Krick, Martin Sombra
We present bounds for the degree and the height of the polynomials arising in some central problems in effective algebraic geometry including the implicitation of rational maps and…
The Newton polygon of a rational plane curve
Carlos D'Andrea, Martin Sombra
The Newton polygon of the implicit equation of a rational plane curve is explicitly determined by the multiplicities of any of its parametrizations. We give an intersection-theoret…