Postulation of general unions of lines and multiplicity two points in
, ![r \leq 5](http://siba-ese.unile.it/plugins/generic/latexRender/cache/4acb08305ae876ad4e1a8057bbbbd954.png)
Abstract
We determine the Hilbert function of general unions in
, r = 4; 5, of prescribed numbers of lines and fat 2-points. We only have partial results in
(also if we add a few general reducible conics).
![\mathbb {P}^r](http://siba-ese.unile.it/plugins/generic/latexRender/cache/1209bf47c416827c26ed015c8b25850a.png)
![\mathbb {P}^3](http://siba-ese.unile.it/plugins/generic/latexRender/cache/3f3bd4ebca43d77807ae8cd42543f416.png)
DOI Code:
10.1285/i15900932v35n1p23
Keywords:
postulation; Hilbert function; lines; zero-dimensional schemes; fat points
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