IJPAM: Volume 93, No. 6 (2014)
GENERAL UNIONS OF SUNDIALS (OR LINES)
IMPROVE THE HILBERT FUNCTIONS
OF PROJECTIVE SCHEMES
IMPROVE THE HILBERT FUNCTIONS
OF PROJECTIVE SCHEMES
E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
Abstract. A sundial
is a certain flat limit of two disjoint lines with
a reducible
conic. Let
,
large, the double of a linear space. We prove
that a general union of
and lines or sundials has the expected postulation. Instead of
we may take
other low dimensional multiple structures if certain numerical conditions on their Hilbert function are satisfied.
Received: February 22, 2014
AMS Subject Classification: 14N05
Key Words and Phrases: sundial, lines, postulation, Hilbert function
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DOI: 10.12732/ijpam.v93i6.4 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 93
Issue: 6
Pages: 789 - 798
