Item description for De Rham Cohomology of Differential Modules on Algebraic Varieties (Progress in Mathematics) by Yves André...
The book offers a systematic treatment of the theory of differential modules on algebraic varieties over a field of characteristic 0. Its final purpose is to give a proof of a conjecture of Baldassarri comparing the algebraic and p-adic analytic De Rham cohomologies of such a module. Along the way, the authors present a purely algebraic treatment of the theory of regularity and irregularity in several variables, give original elementary proofs of the main results on De Rham cohomology of differential modules, and then develop a new approach to the classical algebraic/analytic comparison theorems (concerning regular modules) which unifies the complex and p-adic situations and avoids resolution of singularities. The main results should be of interest to arithmetic-algebraic geometers. The methods should be of interest to specialists of D-modules. On the other hand, the greater part of the book can be used as an introduction to the subject and should be accessible to non-specialists and graduate students with a background in algebraic geometry.
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Est. Packaging Dimensions: Length: 9.42" Width: 6.36" Height: 0.65" Weight: 1.23 lbs.
Release Date Jan 25, 2001
Publisher Birkhäuser Basel
ISBN 3764363487 ISBN13 9783764363482
Availability 94 units. Availability accurate as of Mar 23, 2017 12:41.
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