Archivio Istituzionale della RicercaA configuration of linearspaces 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 linearspacesΛ we determine HF(Λ,2), i.e. the Hilbert function of Λ in degree 2.A configuration of linearspaces 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 linearspacesΛ we determine HF(Λ,2), i.e. the Hilbert function of Λ in degree 2.
Subspace arrangements, configurations of linearspaces and the quadrics containing them / Carlini, Enrico; Catalisano, MARIA VIRGINIA; Geramita, A. V.. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 362:15(2012), pp. 70-83. [10.1016/j.jalgebra.2012.03.023]
Subspace arrangements, configurations of linearspaces and the quadrics containing them
CARLINI, ENRICO;CATALISANO, MARIA VIRGINIA;
2012
Abstract
A configuration of linearspaces 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 linearspacesΛ we determine HF(Λ,2), i.e. the Hilbert function of Λ in degree 2.A configuration of linearspaces 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 linearspacesΛ we determine HF(Λ,2), i.e. the Hilbert function of Λ in degree 2.
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https://hdl.handle.net/11583/2497828
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