A step towards the connectedness of the Hilbert scheme: The Koszul curves are in the component of extremal curves.

Daniel Perrin

Collectanea Mathematica (2001)

  • Volume: 52, Issue: 3, page 295-319
  • ISSN: 0010-0757

Abstract

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The purpose of this paper is to study the connectedness of the Hilbert scheme H(d,g) of degree d and genus g curves (locally Cohen-Macaulay) in P3. Thanks to the method of triads, we show that a large class of curves (the curves whose Rao-module is Koszul, i.e. a complete intersection) are in the connected component of extremal curves. This generalizes widely several recent results.

How to cite

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Perrin, Daniel. "Un pas vers la connexité du schéma de Hilbert: les courbes de Koszul sont dans la composante des extrémales.." Collectanea Mathematica 52.3 (2001): 295-319. <http://eudml.org/doc/42802>.

@article{Perrin2001,
author = {Perrin, Daniel},
journal = {Collectanea Mathematica},
keywords = {Curvas espaciales; Esquemas; Conectividad},
language = {fre},
number = {3},
pages = {295-319},
title = {Un pas vers la connexité du schéma de Hilbert: les courbes de Koszul sont dans la composante des extrémales.},
url = {http://eudml.org/doc/42802},
volume = {52},
year = {2001},
}

TY - JOUR
AU - Perrin, Daniel
TI - Un pas vers la connexité du schéma de Hilbert: les courbes de Koszul sont dans la composante des extrémales.
JO - Collectanea Mathematica
PY - 2001
VL - 52
IS - 3
SP - 295
EP - 319
LA - fre
KW - Curvas espaciales; Esquemas; Conectividad
UR - http://eudml.org/doc/42802
ER -

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