The Manin-Peyre conjecture for smooth spherical Fano varieties of semisimple rank one

authored by

Valentin Blomer, Jörg Brüdern, Ulrich Derenthal, Giuliano Gagliardi

Abstract

The Manin-Peyre conjecture is established for a class of smooth spherical Fano varieties of semisimple rank one. This includes all smooth spherical Fano threefolds of type T as well as some higher-dimensional smooth spherical Fano varieties.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics
Riemann Center for Geometry and Physics

External Organisation(s)

University of Bonn
University of Göttingen

Type

Article

Journal

Forum of Mathematics, Sigma

Volume

12

No. of pages

93

Publication date

18.01.2024

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Computational Mathematics, Analysis, Theoretical Computer Science, Discrete Mathematics and Combinatorics, Geometry and Topology, Algebra and Number Theory, Statistics and Probability, Mathematical Physics

Electronic version(s)

http://10.48550/arXiv.2004.09357 (Access: Open)
https://doi.org/10.1017/fms.2023.123 (Access: Open)