Nombre de points de hauteur bornée sur les surfaces de del Pezzo de degré 5
By Régis de la Bretèche. 2002
51 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/53460341bd297a8b7445cbbf55eab337eece2394
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- On Manin's conjecture for a certain singular cubic surface (2005, background): “The testing ground were certain del Pezzo surfaces of higher degree (just as over Q, where the investigation of Manin’s conjecture beyond equivariant compactifications of algebraic groups and forms in many variables started with smooth quintic [Bre02] and singular quartic [BB07] del Pezzo surfaces).”
- Singular del Pezzo surfaces whose universal torsors are hypersurfaces (2006, background): “For examples of non-toric Del Pezzo surfaces, proofs were found in degree 5 [Bre02], degree 4 [BB], [DT06], and partial results in degree 3 [HB03], [Bro04].”
- On the distribution of points of bounded height on equivariant compactifications of vector groups (2000, unknown): “…to results for toric varieties [2], flag varieties [12] and horospherical varieties [20]; – elementary (but nontrivial) methods for del Pezzo surfaces of degree 4 or 5, cf. de la Bretèche [7], and for cubic surfaces (Salberger, SwinnertonDyer, Heath-Brown, cf. [18] and the references therein).”
- An overview of Manin's conjecture for del Pezzo surfaces (2005, unknown): “In fact we still have no clear vision of which methods are most appropriate, and it is conceivable that the methods needed to handle the singular del Pezzo surfaces of low degree are quite different from those needed to handle the non-singular surfaces.”