Counting rational points on Hirzebruch-Kleinschmidt varieties
Algebraic Geometry and Number Theory Seminar
Date
Thursday, January 9, 2025 13:00 - 15:00
Speaker
Sebastián Herrero (University of Santiago de Chile)
Location
Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Series
Seminar/Talk
Tags
Mathematics and CS Seminar
Host
Tim Browning / Lois Faisant
Contact
This talk is about asymptotic formulas for the number of rational points of bounded (or large) height on Hirzebruch-Kleinschmidt varieties over global fields. These varieties are realizations of split toric varieties with Picard rank 2, and their explicit models enable computations that go beyond the general expectation of the Manin-Peyre conjecture. This is joint work with Tobas Martnez (University of El Salvador) and Pedro Montero (UTFSM, Chile).