The ABC theorem for higher-dimensional function fields

Hsia, Liang-Chung; Wang, Julie

doi:10.1090/S0002-9947-03-03363-4

The ABC theorem for higher-dimensional function fields
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by Liang-Chung Hsia and Julie Tzu-Yueh Wang PDF

Trans. Amer. Math. Soc. 356 (2004), 2871-2887 Request permission

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.

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