Displaying similar documents to “Apery basis and polar invariants of plane curve singularities.”

Moduli of Germs of Legendrian Curves

António Araújo, Orlando Neto (2009)

Annales de la faculté des sciences de Toulouse Mathématiques

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We construct the generic component of the moduli space of the germs of Legendrian curves with generic plane projection topologically equivalent to a curve y n = x m .

Note on the degree of Cº-sufficiency of plane curves.

Antonio F. Costa (1989)

Publicacions Matemàtiques

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Let f be a germ of plane curve, we define the δ-degree of sufficiency of f to be the smallest integer r such that for anuy germ g such that j f = j g then there is a set of disjoint annuli in S whose boundaries consist of a component of the link of f and a component of the link of g. We establish a formula for the δ-degree of sufficiency in terms of link invariants of plane curves singularities and, as a consequence of this formula, we obtain that the δ-degree of sufficiency is equal...

Base points of polar curves

Eduardo Casas-Alvero (1991)

Annales de l'institut Fourier

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The base points of the system of polar curves of an irreducible algebroid plane curve with general moduli are determined. As consequences a lower bound for the Tjurina number and many continuous analytic invariants of the curve are found.

Gorenstein liaison of some curves in P.

Joshua Lesperance (2001)

Collectanea Mathematica

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Despite the recent advances made in Gorenstein liaison, there are still many open questions for the theory in codimension ≥ 3. In particular we consider the following question: given two curves in P with isomorphic deficiency modules (up to shift), can they be evenly Gorenstein linked? The answer for this is yes for curves in P, due to Rao, but for higher codimension the answer is not known. This paper will look at large classes of curves in P with isomorphic deficiency modules and show...