R. Hartshorne and A. Hirschowitz proved that a generic collection of lines on ℙn, 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).
@article{bwmeta1.element.doi-10_2478_s11533-011-0054-7,
author = {Enrico Carlini and Maria Catalisano and Anthony Geramita},
title = {3-dimensional sundials},
journal = {Open Mathematics},
volume = {9},
year = {2011},
pages = {949-971},
zbl = {1237.14066},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0054-7}
}
Enrico Carlini; Maria Catalisano; Anthony Geramita. 3-dimensional sundials. Open Mathematics, Tome 9 (2011) pp. 949-971. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0054-7/
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