IJPAM: Volume 95, No. 2 (2014)
WITH LINES AS THEIR IRREDUCIBLE COMPONENTS
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
Abstract. Fix lines
,
, such that
is a nodal curve of degree
and
if and only if either
or
. We say that
is a genus 1 loop of degree
. We prove that general genus 1 loops of degree
have maximal rank, i.e. good postulations, if either
or
and most
. We also study the postulation of general disjoint unions of such curves.
Received: April 21, 2014
AMS Subject Classification: 14N05, 15A69
Key Words and Phrases: unions of lines, genus one, reducible curve, postulation, Hilbert function
Download paper from here.
DOI: 10.12732/ijpam.v95i2.9 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: 2014
Volume: 95
Issue: 2
Pages: 233 - 243
Google Scholar; zbMATH; DOI (International DOI Foundation); WorldCAT.
This work is licensed under the Creative Commons Attribution International License (CC BY).