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Displaying similar documents to “Lax equation representation of certain completely integrable systems”

Curves on a smooth quadric.

S. Giuffrida, R. Maggioni (2003)

Collectanea Mathematica

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We associate to every curve on a smooth quadric a polynomial equation that defines it as a divisor; this polynomial is defined through a matrix. In this way we can study several properties of these curves; in particular we can give a geometrical meaning to the rank of the matrix which defines the curve.

The small Schottky-Jung locus in positive characteristics different from two

Fabrizio Andreatta (2003)

Annales de l’institut Fourier

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We prove that the locus of Jacobians is an irreducible component of the small Schottky locus in any characteristic different from 2 . The proof follows an idea of B. van Geemen in characteristic 0 and relies on a detailed analysis at the boundary of the q - expansion of the Schottky-Jung relations. We obtain algebraically such relations using Mumford’s theory of 2 -adic theta functions. We show how the uniformization theory of semiabelian schemes, as developed by D. Mumford, C.-L. Chai...