On the variety of linear series on a singular curve

@article{Ballico2002,
abstract = {Let $Y$ be an integral projective curve with $g := p_\{a\}(Y) \geq 2$. For all positive integers $d$, $r$ let $W^\{r\}_\{d\}(Y)(\text\{\}^\{**\})$ be the set of all $L \in \text\{Pic\}^\{d\}(Y)$ with $h^\{0\}(Y, L) \geq r+1$ and $L$ spanned. Here we prove that if $d \leq g-2$, then $\dim (W^\{r\}_\{d\}(Y) (\text\{\}^\{**\})) \leq d-3r$ except in a few cases (essentially if $Y$ is a double covering).},
author = {Ballico, E., Fontanari, C.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {631-639},
publisher = {Unione Matematica Italiana},
title = {On the variety of linear series on a singular curve},
url = {http://eudml.org/doc/195416},
volume = {5-B},
year = {2002},
}

TY - JOUR
AU - Ballico, E.
AU - Fontanari, C.
TI - On the variety of linear series on a singular curve
JO - Bollettino dell'Unione Matematica Italiana
DA - 2002/10//
PB - Unione Matematica Italiana
VL - 5-B
IS - 3
SP - 631
EP - 639
AB - Let $Y$ be an integral projective curve with $g := p_{a}(Y) \geq 2$. For all positive integers $d$, $r$ let $W^{r}_{d}(Y)(\text{}^{**})$ be the set of all $L \in \text{Pic}^{d}(Y)$ with $h^{0}(Y, L) \geq r+1$ and $L$ spanned. Here we prove that if $d \leq g-2$, then $\dim (W^{r}_{d}(Y) (\text{}^{**})) \leq d-3r$ except in a few cases (essentially if $Y$ is a double covering).
LA - eng
UR - http://eudml.org/doc/195416
ER -