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

E. Carlini; M. V. Catalisano; A. V. Geramita

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arXiv · 0909.3802

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

E. Carlini·M. V. Catalisano·A. V. Geramita

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Abstract

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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E. Carlini, M. V. Catalisano, A. V. Geramita. 2009-10-07. Subspace arrangements, configurations of linear spaces and the quadrics containing them. https://arxiv.org/abs/0909.3802

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