| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4595684 | Journal of Number Theory | 2006 | 9 Pages |
Abstract
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 pth power of a (global) function.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
