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

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.

arXiv comment80 pages, minor updates

References in corpus (6)

• Manin's conjecture for quartic del Pezzo surfaces with a conic fibration
• The Cox ring of a spherical embedding
• On torus actions of higher complexity
• Boundedness of spherical Fano varieties
• Cox rings of cubic surfaces and Fano threefolds
• Manin's conjecture for certain spherical threefolds

Cited by in corpus (1)

• Homotopy Spectra and Diophantine Equations