34 citations · 63 across the 18 of their papers we have counts for
24 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…
Stickelberger and the Eigenvalue Theorem
David A. Cox
The Eigenvalue Theorem shows that solving a zero-dimensional polynomial system can be recast as an eigenvalue problem. This paper explores the relation between the Eigenvalue Theor…
On the base point locus of surface parametrizations: formulas and consequences
David A. Cox, Sonia Pérez-Díaz, J. Rafael Sendra
This paper shows that the multiplicity of the base points locus of a projective rational surface parametrization can be expressed as the degree of the content of a univariate resul…
Moment Maps, Strict Linear Precision, and Maximum Likelihood Degree One
Patrick Clarke, David A. Cox
We study the moment maps of a smooth projective toric variety. In particular, we characterize when the moment map coming from the quotient construction is equal to a weighted Fubin…
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…
Multi-Rees Algebras and Toric Dynamical Systems
David A. Cox, Kuei-Nuan Lin, Gabriel Sosa
This paper explores the relation between multi-Rees algebras and ideals that arise in the study of toric dynamical systems from the theory of chemical reaction networks.