In this paper, we present an alternative proof of a finiteness theorem due to Bombieri, Masser and Zannier concerning intersections of a curve in Gmn with algebraic subgroups of dimension n-2. Actually, the present conclusion will give more uniform bounds with respect to the former statement. The proof uses a method introduced for the first time by Pila and Zannier to give an alternative proof of Manin-Mumford conjecture and a theorem to count points that satisfy a certain number of linear conditions with rational coefficients. This method has been largely used in many different problems in the context of 'unlikely intersections'.
Capuano, L., Masser, D., Pila, J., & Zannier, U. (2016). Rational points on Grassmannians and unlikely intersections in tori. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 48(1), 141-154 [10.1112/blms/bdv091].
Titolo: | Rational points on Grassmannians and unlikely intersections in tori | |
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Data di pubblicazione: | 2016 | |
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Citazione: | Capuano, L., Masser, D., Pila, J., & Zannier, U. (2016). Rational points on Grassmannians and unlikely intersections in tori. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 48(1), 141-154 [10.1112/blms/bdv091]. | |
Handle: | http://hdl.handle.net/11590/396886 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |