Integration Of One Forms On P Adic Analytic Spaces Am 162
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Integration Of One Forms On P Adic Analytic Spaces Am 162
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Author : Vladimir G. Berkovich
language : en
Publisher: Princeton University Press
Release Date : 2007
Integration Of One Forms On P Adic Analytic Spaces Am 162 written by Vladimir G. Berkovich and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. For example, a closed p-adic analytic one-form defined on a simply-connected domain does not necessarily have a primitive in the class of analytic functions. In the early 1980s, Robert Coleman discovered a way to construct primitives of analytic one-forms on certain smooth p-adic analytic curves in a bigger class of functions. Since then, there have been several attempts to generalize his ideas to smooth p-adic analytic spaces of higher dimension, but the spaces considered were invariably associated with algebraic varieties. This book aims to show that every smooth p-adic analytic space is provided with a sheaf of functions that includes all analytic ones and satisfies a uniqueness property. It also contains local primitives of all closed one-forms with coefficients in the sheaf that, in the case considered by Coleman, coincide with those he constructed. In consequence, one constructs a parallel transport of local solutions of a unipotent differential equation and an integral of a closed one-form along a path so that both depend nontrivially on the homotopy class of the path. Both the author's previous results on geometric properties of smooth p-adic analytic spaces and the theory of isocrystals are further developed in this book, which is aimed at graduate students and mathematicians working in the areas of non-Archimedean analytic geometry, number theory, and algebraic geometry.
Groups St Andrews 2013
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Author : C. M. Campbell
language : en
Publisher: Cambridge University Press
Release Date : 2015-10-22
Groups St Andrews 2013 written by C. M. Campbell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-22 with Mathematics categories.
Leading researchers survey the latest developments in group theory and many related areas.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2005
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Twistor Theory For Riemannian Symmetric Spaces
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Author : Francis E. Burstall
language : en
Publisher: Springer
Release Date : 2006-11-14
Twistor Theory For Riemannian Symmetric Spaces written by Francis E. Burstall and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
In this monograph on twistor theory and its applications to harmonic map theory, a central theme is the interplay between the complex homogeneous geometry of flag manifolds and the real homogeneous geometry of symmetric spaces. In particular, flag manifolds are shown to arise as twistor spaces of Riemannian symmetric spaces. Applications of this theory include a complete classification of stable harmonic 2-spheres in Riemannian symmetric spaces and a Bäcklund transform for harmonic 2-spheres in Lie groups which, in many cases, provides a factorisation theorem for such spheres as well as gap phenomena. The main methods used are those of homogeneous geometry and Lie theory together with some algebraic geometry of Riemann surfaces. The work addresses differential geometers, especially those with interests in minimal surfaces and homogeneous manifolds.
Stochastic Analysis And Related Topics
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Author : Hayri Korezlioglu
language : en
Publisher: Springer
Release Date : 2006-11-14
Stochastic Analysis And Related Topics written by Hayri Korezlioglu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The Silvri Workshop was divided into a short summer school and a working conference, producing lectures and research papers on recent developments in stochastic analysis on Wiener space. The topics treated in the lectures relate to the Malliavin calculus, the Skorohod integral and nonlinear functionals of white noise. Most of the research papers are applications of these subjects. This volume addresses researchers and graduate students in stochastic processes and theoretical physics.
New Integrals
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Author : Peter S. Bullen
language : en
Publisher: Springer
Release Date : 2006-11-14
New Integrals written by Peter S. Bullen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
K Theory And Homological Algebra
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Author : Hvedri Inassaridze
language : en
Publisher: Springer
Release Date : 2006-11-14
K Theory And Homological Algebra written by Hvedri Inassaridze and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Harmonic Analysis
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Author : Pierre Eymard
language : en
Publisher: Springer
Release Date : 2006-11-14
Harmonic Analysis written by Pierre Eymard and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Algebraic Geometry And Complex Analysis
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Author : Enrique Ramirez de Arellano
language : en
Publisher: Springer
Release Date : 2006-11-14
Algebraic Geometry And Complex Analysis written by Enrique Ramirez de Arellano and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The Red Book Of Varieties And Schemes
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Author : David Mumford
language : en
Publisher: Springer
Release Date : 2013-11-11
The Red Book Of Varieties And Schemes written by David Mumford and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
"The book under review is a reprint of Mumford's famous Harvard lecture notes, widely used by the few past generations of algebraic geometers. Springer-Verlag has done the mathematical community a service by making these notes available once again.... The informal style and frequency of examples make the book an excellent text." (Mathematical Reviews)