Abstract
Let be a field of characteristic 0, an -dimensional non-singular algebraic variety over the function field of and the module of differentials of over . A closed differential is called residue free if for any prime divisor of and a differential is called second kind if for any prime divisor , there exists an element such that , where is the canonical valuation with respect to . In this paper, we prove the following theorem: Let be a closed element of . Then is residue free if and only if is of second kind.
Citation
Takeo Ohi. Hirokazu Nagai. "RESIDUE FREE DIFFERENTIALS AND DIFFERENTIALS OF THE SECOND KIND." SUT J. Math. 32 (1) 59 - 66, January 1996. https://doi.org/10.55937/sut/1262208499
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