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Integration of One-forms on P-adic Analytic Spaces. (AM-162) by Vladimir G. Berkovich (Paperback, 2006)
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Author: Vladimir G. Berkovich. 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.