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

Valentin Blomer; Jörg Brüdern; Ulrich Derenthal; Giuliano Gagliardi

doi:10.1017/fms.2023.123

Forum of Mathematics, Sigma (Jan 2024)

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

Valentin Blomer,
Jörg Brüdern,
Ulrich Derenthal,
Giuliano Gagliardi

Affiliations

Valentin Blomer: Universität Bonn, Mathematisches Institut, Endenicher Allee 60, 53115 Bonn, Germany; E-mail:
Jörg Brüdern: Universität Göttingen, Mathematisches Institut, Bunsenstraße 3–5, 37073 Göttingen, Germany; E-mail:
Ulrich Derenthal: Leibniz Universität Hannover, Institut für Algebra, Zahlentheorie und Diskrete Mathematik, Welfengarten 1, 30167 Hannover, Germany; E-mail: School of Mathematics, Institute for Advanced Study, 1 Einstein Drive, Princeton, New Jersey, 08540, USA
Giuliano Gagliardi: Leibniz Universität Hannover, Institut für Algebra, Zahlentheorie und Diskrete Mathematik, Welfengarten 1, 30167 Hannover, Germany; E-mail:

DOI: https://doi.org/10.1017/fms.2023.123
Journal volume & issue: Vol. 12

Abstract

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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.

Published in Forum of Mathematics, Sigma

ISSN: 2050-5094 (Online)
Publisher: Cambridge University Press
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.cambridge.org/core/journals/forum-of-mathematics-sigma

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