We study the lowest dimensional open case of the question whether every arithmetically Cohen–Macaulay subscheme of P^N is glicci, that is, whether every zeroscheme in P^3 is glicci. We show that a general set of n ≥ 56 points in P^3 admits no strictly descending Gorenstein liaison or biliaison. In order to prove this theorem, we establish a number of important results about arithmetically Gorenstein zero-schemes in P^3.

Codimension 3 Arithmetically Gorenstein Subschemes of projective N-space

SABADINI, IRENE MARIA;SCHLESINGER, ENRICO ETTORE MARCELLO
2008-01-01

Abstract

We study the lowest dimensional open case of the question whether every arithmetically Cohen–Macaulay subscheme of P^N is glicci, that is, whether every zeroscheme in P^3 is glicci. We show that a general set of n ≥ 56 points in P^3 admits no strictly descending Gorenstein liaison or biliaison. In order to prove this theorem, we establish a number of important results about arithmetically Gorenstein zero-schemes in P^3.
2008
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/523384
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