A Note on Quadrics Through an Algebraic Curve
Fernando Serrano
Abstract
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Fernando Serrano
Abstract
Open-access reader
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 $2n + 1$.
Key concepts: Quadric, Algebraic curve, Mathematics, Intersection (aeronautics), Genus, Twisted cubic, Pure mathematics, Complete intersection