Displaying similar documents to “Higher order differentials and Weierstrass points on Gorenstein curves.”

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...

Some examples of Gorenstein liaison in codimension three.

Robin Hartshorne (2002)

Collectanea Mathematica

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Gorenstein liaison seems to be the natural notion to generalize to higher codimension the well-known results about liaison of varieties of codimension 2 in projective space. In this paper we study points in P3 and curves in P4 in an attempt to see how far typical codimension 2 results will extend. While the results are satisfactory for small degree, we find in each case examples where we cannot decide the outcome. This examples are candidates for counterexamples to the hoped-for extensions...