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Geometric k-normality of curves and applications

A. Arsie·C. Galati
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Abstract

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 the plane.

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A. Arsie, C. Galati. 2004-02-05. Geometric k-normality of curves and applications. https://arxiv.org/abs/math/0402077

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