Displaying similar documents to “The enumeration of simultaneous higher-order contacts between plane curves”

Plane curves with small linear orbits, I

Paoli Aluffi, Carel Faber (2000)

Annales de l'institut Fourier

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The “linear orbit” of a plane curve of degree d is its orbit in d ( d + 3 ) / 2 under the natural action of PGL ( 3 ) . In this paper we compute the degree of the closure of the linear orbits of most curves with positive dimensional stabilizers. Our tool is a nonsingular variety dominating the orbit closure, which we construct by a blow-up sequence mirroring the sequence yielding an embedded resolution of the curve. The results given here will serve as an ingredient in the computation of the analogous information...

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...