3-dimensional sundials

Details 3-dimensional sundials 3-dimensional sundials

2010-06-11

arxiv.org/abs/1006.2290v2

Mathematics

Algebraic Geometry

Scientific paper

Robin Hartshorne and Alexander Hirschowitz proved that a generic collection
of lines on $\mathbb P^n$, $n \geq 3$, has bipolynomial Hilbert Function. We
extended this result to a specialization of the collection of generic lines, by
considering a union of lines and $3$-dimensional sundials (i.e., a union of
schemes obtained by degenerating pairs of skew lines).

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