Manin’s conjecture for a quartic del Pezzo surface with singularity
The Manin conjecture is established for a split singular del Pezzo surface of degree four, with singularity type .
Manin’s conjecture for a singular sextic del Pezzo surface
We prove Manin’s conjecture for a del Pezzo surface of degree six which has one singularity of type . Moreover, we achieve a meromorphic continuation and explicit expression of the associated height zeta function.
Manin's conjecture for two quartic del Pezzo surfaces with 3A₁ and A₁ + A₂ singularity types
Minorations des hauteurs normalisées des sous-variétés des tores
More cubic surfaces violating the Hasse principle
We generalize L. J. Mordell’s construction of cubic surfaces for which the Hasse principle fails.
Multivariable polynomial injections on rational numbers