Our object of study are G-connections i.e. linear partial differential equations satisfied by G-functions in several variables [A], [DGS]; typical examples are non-confluent generalized hypergeometric connections with rational parameters [GHF, Chap. 12]. Our main result is the stability of this notion under higher direct images, for any smooth morphism. As a by-product we obtain a purely p-adic proof of the open local monodromy theorem which does not use resolution of singularities.
Geometric theory of G-functions.
BALDASSARRI, FRANCESCO
1997
Abstract
Our object of study are G-connections i.e. linear partial differential equations satisfied by G-functions in several variables [A], [DGS]; typical examples are non-confluent generalized hypergeometric connections with rational parameters [GHF, Chap. 12]. Our main result is the stability of this notion under higher direct images, for any smooth morphism. As a by-product we obtain a purely p-adic proof of the open local monodromy theorem which does not use resolution of singularities.File in questo prodotto:
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