A note on global pth powers of rigid analytic functions
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چکیده
منابع مشابه
A NOTE ON GLOBAL p POWERS OF RIGID ANALYTIC FUNCTIONS
Assume that K is a perfect field of characteristic p > 0 that is complete with respect to an ultrametric valuation, and let X be a rigid analytic variety over K. Suppose that X is smooth and connected with respect to its Grothendieck topology. Let f be a (global) function on X the differential of which vanishes locally at some point of X; then f is the p power of a (global) function.
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2006
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2005.05.012