An overview of Manin's conjecture for del Pezzo surfaces

By Tim D Browning. 2005

53 citations recorded by the source corpus.

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.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b0dd1c45dc4885b058836fb58417d7fefa35f623

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Ulrich Derenthal
2. R. Bretèche
3. Tim D Browning

In Geometry and Topology

1. Ulrich Derenthal
2. Tim D Browning
3. R. Bretèche
4. Manjul Bhargava
5. Jürgen Hausen
6. Hendrik Suss

Citations in the corpus

• Singular del Pezzo surfaces whose universal torsors are hypersurfaces (2006, background): “See [Bro05] and [DT06] for an overview of the current progress towards Manin’s conjecture for Del Pezzo surfaces.”
• On Manin's conjecture for singular del Pezzo surfaces of degree four, II (2004, background): “A discussion of these surfaces can be found in the second author’s survey [3].”