Bounds on multisecant lines.

Nollet, Scott. "Bounds on multisecant lines.." Collectanea Mathematica 49.2-3 (1998): 447-463. <http://eudml.org/doc/41406>.

@article{Nollet1998,
abstract = {The purpose of this paper is twofold. First, we give an upper bound on the order of a multisecant line to an integral arithmetically Cohen-Macaulay subscheme in Pn of codimension two in terms of the Hilbert function. Secondly, we give an explicit description of the singular locus of the blow up of an arbitrary local ring at a complete intersection ideal. This description is used to refine a standard linking theorem. These results are tied together by the construction of sharp examples for the bound, which uses the linking theorems.},
author = {Nollet, Scott},
journal = {Collectanea Mathematica},
keywords = {Curvas lisas; Secantes; Límite superior; Espacio proyectivo; Sección lineal; order of multisecant line; arithmetically Cohen-Macaulay subscheme; Hilbert function},
language = {eng},
number = {2-3},
pages = {447-463},
title = {Bounds on multisecant lines.},
url = {http://eudml.org/doc/41406},
volume = {49},
year = {1998},
}

TY - JOUR
AU - Nollet, Scott
TI - Bounds on multisecant lines.
JO - Collectanea Mathematica
PY - 1998
VL - 49
IS - 2-3
SP - 447
EP - 463
AB - The purpose of this paper is twofold. First, we give an upper bound on the order of a multisecant line to an integral arithmetically Cohen-Macaulay subscheme in Pn of codimension two in terms of the Hilbert function. Secondly, we give an explicit description of the singular locus of the blow up of an arbitrary local ring at a complete intersection ideal. This description is used to refine a standard linking theorem. These results are tied together by the construction of sharp examples for the bound, which uses the linking theorems.
LA - eng
KW - Curvas lisas; Secantes; Límite superior; Espacio proyectivo; Sección lineal; order of multisecant line; arithmetically Cohen-Macaulay subscheme; Hilbert function
UR - http://eudml.org/doc/41406
ER -