Subspace arrangements, configurations of linear spaces and the quadrics containing them

Details Subspace arrangements, configurations of linear spaces and the quadrics containing them Subspace arrangements, configurations of linear spaces and the quadrics containing them

2009-09-21

arxiv.org/abs/0909.3802v2

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.

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