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Equazioni differenziali p -adiche e interpolazione p -adica di formule classiche

Francesco Baldassarri (2000)

Bollettino dell'Unione Matematica Italiana

We shortly introduce non-archimedean valued fields and discuss the difficulties in the corresponding theory of analytic functions. We motivate the need of p -adic cohomology with the Weil Conjectures. We review the two most popular approaches to p -adic analytic varieties, namely rigid and Berkovich analytic geometries. We discuss the action of Frobenius in rigid cohomology as similar to the classical action of covering transformations. When rigid cohomology is parametrized by twisting characters,...

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