THE abc CONJECTURE IMPLIES THE WEAK DIVERSITY CONJECTURE
Author:
Affiliation:
1. University of Maryland, College Park, MD 20742, USA hilaf@math.umd.edu
2. University of Virginia, Charlottesville, VA 22904, USA andrewobus@gmail.com
Publisher
Research Institute of Science and Technology (RISAT)
Subject
General Medicine
Reference18 articles.
1. [DZ] R. Dvornicich and U. Zannier, Fields containing values of algebraic functions, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 21 (1994), no. 3, 421–443.
2. [BL] Yuri Bilu and Florian Luca, Diversity in parametric families of number fields, 2016. Preprint, .
3. [CGT] Pamela Cutter, Andrew Granville, and Thomas J. Tucker, The number of fields generated by the square root of values of a given polynomial, Canad. Math. Bull. 46 (2003), no. 1, 71–79.
4. [BL] Yuri Bilu and Florian Luca, Number fields in fibers: the geometrically abelian case with rational critical values, 2016. Preprint, .
5. [S] Jean-Pierre Serre, Lectures on the Mordell-Weil theorem, Third, Aspects of Mathematics, Friedr. Vieweg & Sohn, Braunschweig, 1997. Translated from the French and edited by Martin Brown from notes by Michel Waldschmidt, With a foreword by Brown and Serre.
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