[PDF.01vk] Integration of One-forms on P-adic Analytic Spaces. (AM-162) (Annals of Mathematics Studies)

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

[PDF.rs88] Integration of One-forms on P-adic Analytic Spaces. (AM-162) (Annals of Mathematics Studies)

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 | #7111775 in Books |  2006-12-03 | Original language:English | PDF # 1 |  .70 x6.46 x9.42l,.85 | File type: PDF | 168 pages

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||About the Author|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".

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 t...

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