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Manin’s conjecture for a quartic del Pezzo surface with $A_{4}$ singularity

Tim D. Browning, Ulrich Derenthal (2009)

Annales de l’institut Fourier

The Manin conjecture is established for a split singular del Pezzo surface of degree four, with singularity type $A_{4}$ .

Manin’s conjecture for a singular sextic del Pezzo surface

Daniel Loughran (2010)

Journal de Théorie des Nombres de Bordeaux

We prove Manin’s conjecture for a del Pezzo surface of degree six which has one singularity of type $A_{2}$ . 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

Pierre Le Boudec (2012)

Acta Arithmetica

Minorations des hauteurs normalisées des sous-variétés des tores

Sinnou David, Patrice Philippon (1999)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

More cubic surfaces violating the Hasse principle

Jörg Jahnel (2011)

Journal de Théorie des Nombres de Bordeaux

We generalize L. J. Mordell’s construction of cubic surfaces for which the Hasse principle fails.

Multivariable polynomial injections on rational numbers

Bjorn Poonen (2010)