Conductor and separating degrees for sets of points in ${\mathbb{P}}^r$ and in ${\mathbb{P}}^1\times {\mathbb{P}}^1$

Marino, Lucia. "Conductor and separating degrees for sets of points in $\mathbb{P}^r$ and in $\mathbb{P}^1 \times \mathbb{P}^1$." Bollettino dell'Unione Matematica Italiana 9-B.2 (2006): 397-421. <http://eudml.org/doc/289635>.

@article{Marino2006,
abstract = {We attempt to generalize conductor degree's results, known in $\mathbb\{P\}^2$, to the case of 0-dimensional schemes of $\mathbb\{P\}^r$. In the first part of this paper, we consider the problem of characterizing the sequences generators's degrees of the conductor which are compatible with a fixed postulation (or Hilbert function) for a set of points in $\mathbb\{P\}^r$ and we determine the conductor degree of every point in a $r$-partial intersection. In addition, we define the separating degree of a point for a 0-dimensional subscheme of a smooth quadric $Q = \mathbb\{P\}^1 \times \mathbb\{P\}^1$ and we give some results in case of special subschemes.},
author = {Marino, Lucia},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {397-421},
publisher = {Unione Matematica Italiana},
title = {Conductor and separating degrees for sets of points in $\mathbb\{P\}^r$ and in $\mathbb\{P\}^1 \times \mathbb\{P\}^1$},
url = {http://eudml.org/doc/289635},
volume = {9-B},
year = {2006},
}

TY - JOUR
AU - Marino, Lucia
TI - Conductor and separating degrees for sets of points in $\mathbb{P}^r$ and in $\mathbb{P}^1 \times \mathbb{P}^1$
JO - Bollettino dell'Unione Matematica Italiana
DA - 2006/6//
PB - Unione Matematica Italiana
VL - 9-B
IS - 2
SP - 397
EP - 421
AB - We attempt to generalize conductor degree's results, known in $\mathbb{P}^2$, to the case of 0-dimensional schemes of $\mathbb{P}^r$. In the first part of this paper, we consider the problem of characterizing the sequences generators's degrees of the conductor which are compatible with a fixed postulation (or Hilbert function) for a set of points in $\mathbb{P}^r$ and we determine the conductor degree of every point in a $r$-partial intersection. In addition, we define the separating degree of a point for a 0-dimensional subscheme of a smooth quadric $Q = \mathbb{P}^1 \times \mathbb{P}^1$ and we give some results in case of special subschemes.
LA - eng
UR - http://eudml.org/doc/289635
ER -