Geodesic
On the variety of linear series on a singular curve
Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 3, pp. 631-639

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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). 
@article{BUMI_2002_8_5B_3_a3,
     author = {Ballico, E. and Fontanari, C.},
     title = {On the variety of linear series on a singular curve},
     journal = {Bollettino della Unione matematica italiana},
     pages = {631--639},
     publisher = {mathdoc},
     volume = {Ser. 8, 5B},
     number = {3},
     year = {2002},
     zbl = {1177.14064},
     mrnumber = {MR1934371},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_3_a3/}
}
TY  - JOUR
AU  - Ballico, E.
AU  - Fontanari, C.
TI  - On the variety of linear series on a singular curve
JO  - Bollettino della Unione matematica italiana
PY  - 2002
SP  - 631
EP  - 639
VL  - 5B
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_3_a3/
LA  - en
ID  - BUMI_2002_8_5B_3_a3
ER  - 
%0 Journal Article
%A Ballico, E.
%A Fontanari, C.
%T On the variety of linear series on a singular curve
%J Bollettino della Unione matematica italiana
%D 2002
%P 631-639
%V 5B
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_3_a3/
%G en
%F BUMI_2002_8_5B_3_a3
Ballico, E.; Fontanari, C. On the variety of linear series on a singular curve. Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 3, pp. 631-639. http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_3_a3/