1988Proceedings of the American Mathematical SocietyOpen access

A Note on Quadrics Through an Algebraic Curve

Fernando Serrano

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Abstract

In this note we describe the intersection of all quadric hypersurfaces containing a given linearly normal smooth projective curve of genus $n$ and degree $2n + 1$.

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In this note we describe the intersection of all quadric hypersurfaces containing a given linearly normal smooth projective curve of genus $n$ and degree $2n + 1$.

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Available abstract

In this note we describe the intersection of all quadric hypersurfaces containing a given linearly normal smooth projective curve of genus $n$ and degree $2n + 1$.

Key concepts: Quadric, Algebraic curve, Mathematics, Intersection (aeronautics), Genus, Twisted cubic, Pure mathematics, Complete intersection

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