The paper establishes Manin's conjecture for infinitely many non-split quintic del Pezzo surfaces, with an explicit Peyre constant in the Galois general case.
Points of bounded height on quintic del Pezzo surfaces over the rational numbers
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abstract
We give a relatively short and elementary proof of Manin's conjecture for split smooth quintic del Pezzo surfaces over the rational numbers.
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Manin's conjecture for quintic del Pezzo surfaces with a conic bundle structure
The paper establishes Manin's conjecture for infinitely many non-split quintic del Pezzo surfaces, with an explicit Peyre constant in the Galois general case.