Displaying similar documents to “Comparison of Metric Spectral Gaps”

Dubrovin Type Equations for Completely Integrable Systems Associated with a Polynomial Pencil

Yordanov, Russi (1998)

Serdica Mathematical Journal

Similarity:

Dubrovin type equations for the N -gap solution of a completely integrable system associated with a polynomial pencil is constructed and then integrated to a system of functional equations. The approach used to derive those results is a generalization of the familiar process of finding the 1-soliton (1-gap) solution by integrating the ODE obtained from the soliton equation via the substitution u = u(x + λt).

Degeneration of the Kummer sequence in characteristic p > 0

Yuji Tsuno (2010)

Journal de Théorie des Nombres de Bordeaux

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We study a deformation of the Kummer sequence to the radicial sequence over an 𝔽 p -algebra, which is somewhat dual for the deformation of the Artin-Schreier sequence to the radicial sequence, studied by Saidi. We also discuss some relations between our sequences and the embedding of a finite flat commutative group scheme into a connected smooth affine commutative group schemes, constructed by Grothendieck.