3-dimensional sundials |
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| Authors: | Enrico Carlini Maria Virginia Catalisano Anthony V. Geramita |
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| Affiliation: | 1.Dipartimento di Matematica,Politecnico di Torino,Turin,Italy;2.DIPTEM — Dipartimento di Ingegneria della Produzione, Termoenergetica e Modelli Matematici, Facoltà di Ingegneria,Università di Genova,Genoa,Italy;3.Department of Mathematics and Statistics,Queen’s University,Kingston,Canada;4.Dipartimento di Matematica,Università di Genova,Genoa,Italy |
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| Abstract: | R. Hartshorne and A. Hirschowitz proved that a generic collection of lines on ℙ n , n≥3, has bipolynomial Hilbert function. We extend 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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