Geometric k-normality of curves and applications

Details Geometric k-normality of curves and applications Geometric k-normality of curves and applications

2004-02-05

arxiv.org/abs/math/0402077v1

Mathematics

Algebraic Geometry

15 pages

Scientific paper

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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