Postulation of double lines and associated objects in the range of quadrics
Abstract
Fix a closed subscheme
. Here we study the integer
when
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.
![U\subset \mathbb {P}^n](http://siba-ese.unile.it/plugins/generic/latexRender/cache/c65ef787078e43b749657e90049b91cb.png)
![h^0(\mathcal {I}_U(2))-h^0(\mathcal {I}_{U\cup Y}(2))](http://siba-ese.unile.it/plugins/generic/latexRender/cache/7c11137aadd6efea575d026fdad88492.png)
![Y](http://siba-ese.unile.it/plugins/generic/latexRender/cache/57cec4137b614c87cb4e24a3d003a3e0.png)
DOI Code:
10.1285/i15900932v31n2p79
Keywords:
postulation ; Hilbert function ; unreduced schemes ; double lines ; quadric hypersurfaces
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