The bipartite Brill-Gordan locus and angular momentum

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dc.creatorAbdesselam, Abdelmalek
dc.creatorChipalkatti, Jaydeep
dc.date2005-02-25
dc.date.accessioned2026-07-07T05:17:29Z
dc.date.available2026-07-07T05:17:29Z
dc.descriptionThis paper is a sequel to math.AG/0411110. Let P denote the projective space of degree d forms in n+1 variables. Let e denote an integer < d/2, and consider the subvariety X of forms which factor as L^{d-e} M^e for some linear forms L,M. In the language of our earlier paper, this is the Brill-Gordan locus associated to the partition (d-e,e). In this paper we calculate the Castelnuovo regularity of X precisely, and moreover show that X is r-normal for r at least 3. In the case of binary forms, we give a classical invariant-theoretic description of the defining equations of this locus in terms of covariants of d-ics. Modulo standard cohomological arguments, the proof crucially relies upon showing that certain 3j-symbols from the quantum theory of angular momentum are nonzero.
dc.descriptionLaTeX, 37 pages
dc.identifierhttps://arxiv.org/abs/math/0502542
dc.identifierhttp://arxiv.org/abs/math/0502542
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74325
dc.subjectAlgebraic Geometry
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.subject14F17; 20G05; 22E70; 33C20
dc.titleThe bipartite Brill-Gordan locus and angular momentum
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