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Integration of One-forms on P-adic Analytic Spaces. (AM-162)
Vladimir G. Berkovich
€ 71.12
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Description for Integration of One-forms on P-adic Analytic Spaces. (AM-162)
Paperback. Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. This book aims to show that every smooth p-adic analytic space is provided with a sheaf of functions that includes analytic ones and satisfies a uniqueness property. It is aimed at graduate students and mathematicians. Series: Annals of Mathematics Studies. Num Pages: 168 pages, 14 line illus. BIC Classification: PBKJ; PBMS. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 12. Weight in Grams: 28.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2006
Publisher
Princeton University Press
Number of pages
168
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
168
Place of Publication
New Jersey, United States
ISBN
9780691128627
SKU
V9780691128627
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Vladimir G. Berkovich
Vladimir G. Berkovich is Matthew B. Rosenhaus Professor of Mathematics at the Weizmann Institute of Science in Rehovot, Israel. He is the author of "Spectral Theory and Analytic Geometry over Non-Archimedean Fields".
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