18 citations · 46 across the 32 of their papers we have counts for
40 papers
Multiple Tor modules: rigidity and Mayer-Vietoris spectral sequences
Arindam Banerjee, Marc Chardin, Rafael Holanda
We extend some properties of a pair of ideals described in terms of Tor modules to any number of ideals, including the well-known rigidity property. Those extensions require the de…
Curves in of analytic spread at most
Marc Chardin, Clare D'Cruz
We study closed subschemes in of dimension one, locally defined at any point by at most equations such that the analytic spread of is at…
Bounds on the degrees of vector fields
Marc Chardin, S. Hamid Hassanzadeh, Claudia Polini +2
In this article, we study the generalized Poincare problem from the opposite perspective, by establishing lower bounds on the degree of the vector field in terms of invariants of t…
Homology of multiple complexes and Mayer-Vietoris spectral sequences
Marc Chardin, Rafael Holanda, José Naéliton
Similarities are noted in two Mayer-Vietoris spectral sequences that generalize to any number of ideals in the Mayer-Vietoris exact sequence in local cohomology for two ideals. One…
Multigraded Tor and local cohomology
Marc Chardin, Rafael Holanda
Notions of Castelnuovo-Mumford regularity and of invariant were extended from standard graded algebras to the toric setting. We here focus our attention on the standard multi…
Fibers of rational maps and elimination matrices: an application oriented approach
Laurent Busé, Marc Chardin
Parameterized algebraic curves and surfaces are widely used in geometric modeling and their manipulation is an important task in the processing of geometric models. In particular,…