Title: Curves having schemes of special divisors with multiple components
Authors: Coppens, Marc # ×
Issue Date: 1-Sep-2008
Publisher: M. Dekker
Series Title: Communications in Algebra vol:36 issue:9 pages:3418-3434
Abstract: In this paper we show that it is of frequent occurrence that smooth curves do have multiple components for some of their schemes $W^{1}_{e}$ of special divisors. For a smooth space curve $C$ of degree $d$ we give sufficient conditions implying that $W^{1}_{d-2}$ has a multiple component and we prove the existence of many space curves satisfying those conditions. As an example of a more general result for curves in $\mathbb{P}^{r}$ we prove that general complete
intersection curves of degree $d$ in $\mathbb{P}^{4}$ do have multiple components for the schemes $W^{1}_{d-5}$ and $W^{1}_{d-4}$.
ISSN: 0092-7872
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Algebra Section
Technologiecluster ESAT Elektrotechnische Engineering
Electrical Engineering (ESAT) TC, Technology Campus Geel
× corresponding author
# (joint) last author

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