Abstract

Robin Hartshorne and Alexander Hirschowitz proved that a generic collection of lines on Pn\mathbb P^n, n≥3n \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 33-dimensional sundials (i.e., a union of schemes obtained by degenerating pairs of skew lines).

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