The ABC theorem for higher-dimensional function fields
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- by Liang-Chung Hsia and Julie Tzu-Yueh Wang PDF
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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.References
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Additional Information
- Liang-Chung Hsia
- Affiliation: Department of Mathematics, National Central University, Taiwan
- MR Author ID: 606569
- Email: hsia@math.ncu.edu.tw
- Julie Tzu-Yueh Wang
- Affiliation: Institute of Mathematics, Academia Sinica, Nankang 115, Taipei, Taiwan
- MR Author ID: 364623
- ORCID: 0000-0003-2133-1178
- Email: jwang@math.sinica.edu.tw
- Received by editor(s): April 15, 2003
- Published electronically: November 12, 2003
- © Copyright 2003 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 356 (2004), 2871-2887
- MSC (2000): Primary 11J97; Secondary 11J61
- DOI: https://doi.org/10.1090/S0002-9947-03-03363-4
- MathSciNet review: 2052600