Cantitate/Preț
Produs

Integration of One–forms on P–adic Analytic Spaces. (AM–162): Annals of Mathematics Studies

Autor Vladimir G. Berkovich
en Limba Engleză Paperback – 18 dec 2006
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.
Citește tot Restrânge

Din seria Annals of Mathematics Studies

Preț: 44158 lei

Preț vechi: 54516 lei
-19% Nou

Puncte Express: 662

Preț estimativ în valută:
8454 8787$ 7009£

Carte tipărită la comandă

Livrare economică 05-19 februarie 25

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9780691128627
ISBN-10: 0691128626
Pagini: 168
Ilustrații: 14 line illus.
Dimensiuni: 165 x 238 x 9 mm
Greutate: 0.27 kg
Ediția:New.
Editura: Princeton University Press
Seria Annals of Mathematics Studies

Locul publicării:Princeton, United States