Geometric k-normality of curves and applications

The notion of geometric k-normality for curves is introduced in complete generality and is investigated in the case of nodal and cuspidal curves living on several types of surfaces. We discuss and suggest some applications of this notion to the study of Severi varieties of nodal curves on surfaces o...

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Main Authors: Alessandro Arsie, Concettina Galati
Format: Article
Language:English
Published: Università degli Studi di Catania 2003-11-01
Series:Le Matematiche
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/188
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author Alessandro Arsie
Concettina Galati
author_facet Alessandro Arsie
Concettina Galati
author_sort Alessandro Arsie
collection DOAJ
description The notion of geometric k-normality for curves is introduced in complete generality and is investigated in the case of nodal and cuspidal curves living on several types of surfaces. We discuss and suggest some applications of this notion to the study of Severi varieties of nodal curves on surfaces of general type and on <em>P^2</em> .<br />
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spelling doaj.art-b53b9712276d42b9a919494a349e20502022-12-21T19:57:21ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982003-11-01582179199166Geometric k-normality of curves and applicationsAlessandro ArsieConcettina GalatiThe notion of geometric k-normality for curves is introduced in complete generality and is investigated in the case of nodal and cuspidal curves living on several types of surfaces. We discuss and suggest some applications of this notion to the study of Severi varieties of nodal curves on surfaces of general type and on <em>P^2</em> .<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/188
spellingShingle Alessandro Arsie
Concettina Galati
Geometric k-normality of curves and applications
Le Matematiche
title Geometric k-normality of curves and applications
title_full Geometric k-normality of curves and applications
title_fullStr Geometric k-normality of curves and applications
title_full_unstemmed Geometric k-normality of curves and applications
title_short Geometric k-normality of curves and applications
title_sort geometric k normality of curves and applications
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/188
work_keys_str_mv AT alessandroarsie geometricknormalityofcurvesandapplications
AT concettinagalati geometricknormalityofcurvesandapplications