Solutions of the equation
Elizabeth F. Da Costa Gomes (1998)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “On overconvergent isocrystals and -isocrystals of rank one”
Solutions of the equation
The -adic local monodromy theorem for fake annuli
Kiran S. Kedlaya (2007)
Rendiconti del Seminario Matematico della Università di Padova
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Analytic convexity
Aldo Andreotti, Mauro Nacinovich (1980)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Differential modules defined by systems of equations
Alan Adolphson, Steven Sperber (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Relations among analytic functions. II
Edward Bierstone, P. D. Milman (1987)
Annales de l'institut Fourier
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This is a sequel to “Relations among analytic functions I”, , , fasc. 1, [pp. 187-239]. We reduce to semicontinuity of local invariants the problem of finding solutions to systems of equations involving division and composition by analytic functions. We prove semicontinuity in several general cases : in the algebraic category, for “regular” mappings, and for module homomorphisms over a finite mapping.
On the arithmetic properties of complex values of Hecke-Mahler series. I. The rank one case
Federico Pellarin (2006)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Here we characterise, in a complete and explicit way, the relations of algebraic dependence over of complex values of Hecke-Mahler series taken at algebraic points of the multiplicative group , under a technical hypothesis that a certain sub-module of generated by the ’s has rank one (rank one hypothesis). This is the first part of a work, announced in [Pel1], whose main objective is completely to solve a general problem on the algebraic independence of values of these series. ...