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p-adic differential equations
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p-adic differential equations

Kiran Sridhara Kedlaya

Publication Data

Contents

Norms on algebraic structures
Newton polygons
Ramification theory
Matrix analysis
Formalism of differential algebra
Metric properties of differential modules
Regular singularities
Rings of functions on discs and annuli
Radius and generic radius of convergence
Frobenius pullback and pushforward
Variation of generic and subsidiary radii
Decomposition by subsidiary radii
p-adic exponents
Formalism of difference algebra
Frobenius modules
Frobenius modules over the Robba ring
Frobenius structures on differential modules
Effective convergence bounds
Galois representations and differential modules
The p-adic local monodromy theorem
The p-adic local monodromy theorem: proof
Picard-Fuchs modules
Rigid cohomology
p-adic Hodge theory.

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Catalogue Data

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p-adic differential equations by Kiran Sridhara Kedlaya. ISBN 9780521768795. Published by Cambridge University Press in 2010. Publication and catalogue information, links to buy online and reader comments.

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