2 citations · 2 across the 7 of their papers we have counts for
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On the Castelnuovo-Mumford regularity of ideals, in dimension 2
Marc Chardin, Amadou Lamine Fall
We give a bound on the Castelnuovo-Mumford regularity of a homogeneous ideals I, in a polynomial ring A, in terms of number of variables and the degrees of generators, when the dim…
Implicitization using approximation complexes
Marc Chardin
We present a method for the implicitization problem that goes back to the work of Sederberg and Chen. The formalism we use, with approximation complexes as a key ingredient, is due…
Liaison and Castelnuovo-Mumford regularity
Marc Chardin, Bernd Ulrich
In this article we establish bounds for the Castelnuovo-Mumford regularity of projective schemes in terms of the degrees of their defining equations. The main new ingredient in our…
Projective schemes: What is Computable in low degree?
Marc Chardin
This article first presents two examples of algorithms that extracts information on scheme out of its defining equations. We also give a review on the notion of Castelnuovo-Mumford…
Castelnuovo-Mumford regularity: Examples of curves and surfaces
Marc Chardin, Clare D'Cruz
The behaviour of Castelnuovo-Mumford regularity under ``geometric'' transformations is not well understood. In this paper we are concerned with examples which will shed some light…
Liaison of varieties of small dimension and deficiency modules
Marc Chardin
This article studies the behaviour under liaison of the deficiency modules of schemes that are not assumed to be Cohen-Macaulay. Our study uses in particular a generalization of Se…