The distribution of rational points on some projective varieties

by Fabian Dehnert
Doctoral thesis
Date of Examination:2019-03-04
Date of issue:2020-01-09
Advisor:Prof. Dr. Jörg Brüdern
Referee:Prof. Dr. Jörg Brüdern
Referee:Prof. Dr. Valentin Blomer
Persistent Address: http://dx.doi.org/10.53846/goediss-7797

 

 

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Abstract

English

This thesis is concerned with establishing Manin's conjecture on the distribution of ratinal points for a certain class of bihomogeneous varieties. It generalizes work of Vaughan on the representation of integers as sum of cubes to a setting dealing with blocks of variables of the shape xy³.
Keywords: Hardy-Littlewood Method; Manin's Conjecture; Distibution of rational points; Bihomogeneous varieties; Analytic number theory
 
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