Type: Article
Publication Date: 1988-01-01
Citations: 3
DOI: https://doi.org/10.1090/s0002-9939-1988-0928958-7
In this note we describe the intersection of all quadric hypersurfaces containing a given linearly normal smooth projective curve of genus <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="n"> <mml:semantics> <mml:mi>n</mml:mi> <mml:annotation encoding="application/x-tex">n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and degree <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="2 n plus 1"> <mml:semantics> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>n</mml:mi> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">2n + 1</mml:annotation> </mml:semantics> </mml:math> </inline-formula>.