23 citations · 92 across the 39 of their papers we have counts for
44 papers
Subresultants and the Shape Lemma
David A. Cox, Carlos D'Andrea
In nice cases, a zero-dimensional complete intersection ideal over a field of characteristic zero has a Shape Lemma. There are also cases where the ideal is generated by the result…
Bounds for degrees of syzygies of polynomials defining a grade two ideal
Teresa Cortadellas Benitez, Carlos D'Andrea, Eulalia Montoro
We make explicit the exponential bound on the degrees of the polynomials appearing in the Effective Quillen-Suslin Theorem, and apply it jointly with the Hilbert-Burch Theorem to s…
The Canny-Emiris conjecture for the sparse resultant
Carlos D'Andrea, Gabriela Jeronimo, Martin Sombra
We present a product formula for the initial parts of the sparse resultant associated to an arbitrary family of supports, generalising a previous result by Sturmfels. This allows t…
The Rees Algebra of Parametric Curves via liftings
Teresa Cortadellas Benitez, David Cox, Carlos D'Andrea
We study the defining equations of the Rees algebra of ideals arising from curve parametrizations in the plane and in rational normal scrolls, inspired by the work of Madsen and Ku…
Minimal solutions of the rational interpolation problem
Teresa Cortadellas Benitez, Carlos D'Andrea, Eulalia Montoro
We explore connections between the approach of solving the rational interpolation problem via resolutions of ideals and syzygies with the standard method provided by the Extended E…
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…