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math.NT2007★ 9 cited
Continuity of the radius of convergence of p-adic differential equations on Berkovich analytic spaces
Francesco Baldassarri, Lucia Di Vizio
We consider a vector bundle with integrable connection (\cE,\na) on an analytic domain U in the generic fiber \cX_η of a smooth formal p-adic scheme \cX, in the sense of Berkovich.…
math.NT2004
-adic formulas and unit root -subcrystals of the hypergeometric system
Francesco Baldassarri, Maurizio Cailotto
We define the notion of {\it Dwork family of logarithmic -crystals}, a typical example of which is the family of Gauss hypergeometricdifferential systems, viewed as parametrized…