73 citations · 117 across the 17 of their papers we have counts for
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Residues and Resultants
Eduardo Cattani, Alicia Dickenstein, Bernd Sturmfels
Resultants, Jacobians and residues are basic invariants of multivariate polynomial systems. We examine their interrelations in the context of toric geometry. The global residue in…
Residues in Toric Varieties
Eduardo Cattani, David Cox, Alicia Dickenstein
We study residues on a complete toric variety X, which are defined in terms of the homogeneous coordinate ring of X. We first prove a global transformation law for toric residues.…
Computing Multidimensional Residues
Eduardo Cattani, Alicia Dickenstein, Bernd Sturmfels
Given n polynomials in n variables with a finite number of complex roots, for any of their roots there is a local residue operator assigning a complex number to any polynomial. Thi…
On the Locus of Hodge Classes
Eduardo Cattani, Pierre Deligne, Aroldo Kaplan
Let be a family of non singular projective varieties parametrized by a complex algebraic variety . Fix , an integer , and a class $h \in {\rm H}…