course: Counting, heights and algebraic subgroups - large degree

speaker: David Masser (Universität Basel)

abstract: Northcott showed that there are at most finitely many algebraic points in a given affine space with height and degree bounded above. When the points are restricted to an algebraic curve, and furthermore lie on the union of all proper algebraic subgroups, Bombieri, Zannier and the speaker showed that the height is usually automatically bounded. We give fairly precise estimates for the number of points with large degree, and we present a conjecture about the asymptotic counting function.

timetable:
Tue 19 Jul, 10:00 - 11:00, Sala Conferenze Centro De Giorgi
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