6 papers
The Manin-Peyre conjecture for smooth spherical Fano threefolds
Valentin Blomer, Jörg Brüdern, Ulrich Derenthal +1
The Manin-Peyre conjecture is established for smooth spherical Fano threefolds of semisimple rank one and type N. Together with the previously solved case T and the toric cases, th…
The Manin-Peyre conjecture for smooth spherical Fano varieties of semisimple rank one
Valentin Blomer, Jörg Brüdern, Ulrich Derenthal +1
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 wel…
Existence of equivariant models of spherical varieties and other G-varieties
Mikhail Borovoi, Giuliano Gagliardi
Let be a field of characteristic with algebraic closure . Let be a connected reductive -group, and let be a spherical variety over (a spherical homogene…
Equivariant models of spherical varieties
Mikhail Borovoi, Giuliano Gagliardi
Let be a connected semisimple group over an algebraically closed field of characteristic 0. Let be a spherical homogeneous space of , and let be a spherical…
Manin's conjecture for certain spherical threefolds
Ulrich Derenthal, Giuliano Gagliardi
We prove Manin's conjecture on the asymptotic behavior of the number of rational points of bounded anticanonical height for a spherical threefold with canonical singularities and t…
On the algebraic stringy Euler number
Victor Batyrev, Giuliano Gagliardi
We are interested in stringy invariants of singular projective algebraic varieties satisfying a strict monotonicity with respect to elementary birational modifications in the Mori…