summer 2018
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Research interests:arithmetic geometry, number theory, algebraic topology, algebraic K-theory |
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Ulrich Derenthal, Leibniz Universität Hannover
04.07.2016, 12.15, B1-37
Title: Manin's conjecture for certain spherical threefolds
Abstract:
Manin's conjecture predicts the asymptotic behavior of the number of rational points of bounded height on Fano varieties. Spherical varieties admit a combinatorial description by Luna data and colored fans. In this talk, we discuss Manin's conjecture for some singular spherical threefolds. Its rational points are counted via universal torsors, which can be explicitly described using Brion's work on Cox rings of spherical varieties. This is joint work with Giuliano Gagliardi.