An overview of Manin's conjecture for del Pezzo surfaces

Details An overview of Manin's conjecture for del Pezzo surfaces An overview of Manin's conjecture for del Pezzo surfaces

2005-11-02

arxiv.org/abs/math/0511041v2

Mathematics

Number Theory

18 pages

Scientific paper

This paper surveys recent progress towards the Manin conjecture for (singular
and non-singular) del Pezzo surfaces. To illustrate some of the techniques
available, an upper bound of the expected order of magnitude is established for
a singular del Pezzo surface of degree four.

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