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.
Original language | English |
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Pages (from-to) | 2871-2887 |
Number of pages | 17 |
Journal | Transactions of the American Mathematical Society |
Volume | 356 |
Issue number | 7 |
DOIs | |
Publication status | Published - 2004 Jul |
Externally published | Yes |
Keywords
- ABC theorem
- Diophantine approximation
- Function fields
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics