Osaka Journal of Mathematics

Curves in projective spaces and their index of regularity

Edoardo Ballico

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For all integers $n \ge 3$ we show the existence of many triples $(d,g,\rho)$ such that there is a smooth non-degenerate curve $C \subset \mathbf{P}^n$ with degree $d$, genus $g$ and index of regularity $\rho$. The curve $C$ lies in a smooth $K3$ surface $S \subset \mathbf{P}^n$.

Article information

Osaka J. Math., Volume 43, Number 1 (2006), 179-181.

First available in Project Euclid: 28 April 2006

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14H50: Plane and space curves
Secondary: 14N50


Ballico, Edoardo. Curves in projective spaces and their index of regularity. Osaka J. Math. 43 (2006), no. 1, 179--181.

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