STIT
发表于 2025-3-25 03:29:45
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原来
发表于 2025-3-25 09:05:48
Integrable Hamiltonian systems and symmetric products of curves,t equipped with many different Poisson structures: for each non-zero . ∈ C[.] we construct (in Paragraph 2.2) a Poisson bracket {·, ·}. which makes (C., {·, ·}.) into an affine Poisson variety. Each of these brackets has maximal rank 2. (in particular the algebra of Casimirs is trivial) and they are
Infelicity
发表于 2025-3-25 12:38:37
Interludium: the geometry of Abelian varieties, new in this chapter, our intention was to give a compact and coherent presentation of the theory of Abelian varieties in a form suitable for applications to integrable systems. Our exposition is partly algebraic partly analytic, we think that both approaches highlight different aspects of the theor
忍受
发表于 2025-3-25 19:23:50
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抗原
发表于 2025-3-25 21:53:18
The master systems,hat they are a.c.i. will be given in Paragraph 4). They are contained in what we called the hyperelliptic case, with a very special choice of Poisson structure (namely the easiest one, which corresponds . = 1) and the underlying space C. should have a dimension which is twice the genus of the hypere
Callus
发表于 2025-3-26 03:38:47
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ARY
发表于 2025-3-26 04:35:21
Integrable Hamiltonian systems and symmetric products of curves,., {·, ·}.) into an affine Poisson variety. Each of these brackets has maximal rank 2. (in particular the algebra of Casimirs is trivial) and they are all compatible. An explicit formula for all these brackets is given; they grow in complexity (i.e., degree) with . so that only the first members are (modified) Lie-Poisson structures.
PHON
发表于 2025-3-26 10:11:40
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预兆好
发表于 2025-3-26 14:00:46
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Licentious
发表于 2025-3-26 18:51:46
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