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
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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
Pages: 233 - 243