IJPAM: Volume 82, No. 5 (2013)

COMPOSED PENCILS ON A SMOOTH CURVE WITH
A SINGULAR MODEL IN A QUADRIC SURFACE

E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY


Abstract. Let $C$ be the normalization of an integral curve of type $(a,a')$ on $\mathbb {P}^1\times \mathbb {P}^1$. We give conditions on $\mbox{\rm Sing}(Y)$ and $y$ for the non-existence of a pencil on $C$ partially composed with the $g^1_a$ or the $g^1_{a'}$ obtained in $C$ from the projections $\mathbb {P}^1\times \mathbb {P}^1\to \mathbb {P}^1$.

Received: December 18, 2012

AMS Subject Classification: 14H51, 14H50

Key Words and Phrases:

Download paper from here.


DOI: 10.12732/ijpam.v82i5.11 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 82
Issue: 5