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Angular momentum, convex polyhedra and algebraic geometry. (English) Zbl 0521.58026


MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
58A14 Hodge theory in global analysis
53C55 Global differential geometry of Hermitian and Kählerian manifolds
52Bxx Polytopes and polyhedra
12D10 Polynomials in real and complex fields: location of zeros (algebraic theorems)
26C10 Real polynomials: location of zeros
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References:

[1] Atiyah, Phil. Trans. Roy. Soc. London A 308 pp 523– (1982) · Zbl 0509.14014 · doi:10.1098/rsta.1983.0017
[2] DOI: 10.1112/blms/14.1.1 · Zbl 0482.58013 · doi:10.1112/blms/14.1.1
[3] Schur, Sitzungsberichte der Berliner Mathematischen Gesellschaft 22 pp 9– (1923)
[4] DOI: 10.1007/978-3-642-96676-7 · doi:10.1007/978-3-642-96676-7
[5] Koushnirenko, Uspehi, Math. Nauk 30 pp 302– (1975)
[6] Bernstein, Funkt. Anal. Appl. 9 pp 1– (1974)
[7] Kostant, Ann. Sci. Ec. Norm. Sup. 6 pp 413– (1973) · Zbl 0293.22019 · doi:10.24033/asens.1254
[8] DOI: 10.1007/978-3-642-66243-0 · doi:10.1007/978-3-642-66243-0
[9] DOI: 10.2307/2372705 · Zbl 0055.24601 · doi:10.2307/2372705
[10] DOI: 10.1007/BF01398933 · Zbl 0503.58017 · doi:10.1007/BF01398933
[11] DOI: 10.1007/BF01399506 · Zbl 0503.58015 · doi:10.1007/BF01399506
[12] Kirwan, C. R. Acad. Sci., Paris 295 pp 261– (1982)
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