Linear Systems of Cubics Singular at General Points of Projective Space

Karen A. Chandler

doi:10.1023/A:1020905322129

Abstract

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We present an elementary proof that given a general collection of d points in Pn the linear system of cubics singular on each point has the expected codimension except when n=4 and d=7. In that case the cubic is unique. This, together with previous work of the author, gives a proof of the Alexander–Hirschowitz interpolation theorem.

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Linear Systems of Cubics Singular at General Points of Projective Space

Abstract

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This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

Linear Systems of Cubics Singular at General Points of Projective Space

Abstract

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