Mathematics – Algebraic Geometry
Scientific paper
2009-09-21
Mathematics
Algebraic Geometry
24 pages, revised version with notation problem solved in the last section
Scientific paper
A subspace arrangement in a vector space is a finite collection of vector subspaces. Similarly, a configuration of linear spaces in a projective space is a finite collection of linear subspaces. In this paper we study the degree 2 part of the ideal of such objects. More precisely, for a generic configuration of linear spaces L we determine HF(L,2), i.e. the Hilbert function of L in degree 2.
Carlini Enrico
Catalisano Maria Virginia
Geramita Anthony V.
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