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Integration of one-forms on p-adic analytic spaces. (am-162) (annals of mathematics studies) by vladimir g. berkovich isbn 13: 9780691128627 isbn 10: 0691128626 paperback; princeton, new jersey, u. s. a. : princeton university press, november 13, 2006; isbn-13: 978-0691128627. 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 integration of one forms on p adic analytic spaces am 162 annals of mathematics studies 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.
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Vol. 162: berkovich, vladimir g. : integration of one-forms on p-adic analytic spaces. (am-162) (2006) vol. 161: kudla, stephen s. / rapoport, michael / yang, tonghai: modular forms and special cycles on shimura curves. (am-161) (2006) vol. 16: siegel, carl ludwig: transcendental numbers. (am-16) (2016). Integration of one-forms on p-adic analytic spaces. vladimir integration of one forms on p adic analytic spaces am 162 annals of mathematics studies g. berkovich. recall that there is a unique way to de ne for every complex manifold x, every closed analytic one-formr! and every continuous path : [0;1]! x, a number. r.
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