Postulation of double lines and associated objects in the range of quadrics

Authors

  • E. Ballico

DOI:

https://doi.org/10.1285/i15900932v31n2p79

Keywords:

postulation, Hilbert function, unreduced schemes, double lines, quadric hypersurfaces

Abstract

Fix a closed subscheme $U\subset \mathbb {P}^n$. Here we study the integer $h^0(\mathcal {I}_U(2))-h^0(\mathcal {I}_{U\cup Y}(2))$ when $Y$ is a general double line, a general reducible conic, a general chain of lines or some unreduced structure associated to double structures on linear subspaces.

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Published

01-07-2012

Issue

Volume 31, Issue 2 (2011)

Section

Articoli

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