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The ABC theorem for higher-dimensional function fields |
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| Authors: | Liang-Chung Hsia Julie Tzu-Yueh Wang |
| Affiliation: | Department of Mathematics, National Central University, Taiwan ; Institute of Mathematics, Academia Sinica, Nankang 115, Taipei, Taiwan |
| Abstract: | We generalize the ABC theorems to the function field of a variety over an algebraically closed field of arbitrary characteristic which is non-singular in codimension one. We also obtain an upper bound for the minimal order sequence of Wronskians over such function fields of positive characteristic. |
| Keywords: | ABC theorem function fields Diophantine approximation |
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