Integral points of bounded height on a log Fano threefold

Abstract

We determine an asymptotic formula for the number of integral points of bounded height on a blow-up of ${\mathbb{P}}^3$ outside certain planes using universal torsors.

19 pages, author accepted version, appeared in IMRN

References in corpus (7)

• On G-Fano threefolds
• Integral points of bounded height on partial equivariant compactifications of vector groups
• Integral points on symmetric varieties and Satake compatifications
• Manin's conjecture for quartic del Pezzo surfaces with a conic fibration
• Integral points of bounded height on toric varieties
• Fano threefolds as equivariant compactifications of the vector group
• Cox rings of cubic surfaces and Fano threefolds

Cited by in corpus (2)

• Integral points on singular del Pezzo surfaces
• Integral points of bounded height on a certain toric variety