The Manin conjecture in dimension 2
T.D. Browning
TL;DR
This paper reviews the progress and current understanding of Manin's conjecture specifically for del Pezzo surfaces, highlighting recent developments and remaining challenges in the field.
Contribution
It provides a comprehensive overview of the state of research on Manin's conjecture for del Pezzo surfaces, summarizing key results and open problems.
Findings
Summary of known cases where Manin's conjecture holds
Identification of open problems in the field
Discussion of techniques used in recent proofs
Abstract
These lecture notes describe the current state of affairs for Manin's conjecture in the context of del Pezzo surfaces.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Analytic Number Theory Research · Mathematics and Applications