--- _id: '6323' abstract: - lang: eng text: 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. alternative_title: - Clay Mathemetics Proceedings author: - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 citation: ama: 'Browning TD. An overview of Manin’s conjecture for del Pezzo surfaces. In: A Tribute to Gauss and Dirichlet. Vol 7. Analytic Number Theory. American Mathematical Society; 2007:39-56.' apa: Browning, T. D. (2007). An overview of Manin’s conjecture for del Pezzo surfaces. In A Tribute to Gauss and Dirichlet (Vol. 7, pp. 39–56). American Mathematical Society. chicago: Browning, Timothy D. “An Overview of Manin’s Conjecture for Del Pezzo Surfaces.” In A Tribute to Gauss and Dirichlet, 7:39–56. Analytic Number Theory. American Mathematical Society, 2007. ieee: T. D. Browning, “An overview of Manin’s conjecture for del Pezzo surfaces,” in A Tribute to Gauss and Dirichlet, vol. 7, American Mathematical Society, 2007, pp. 39–56. ista: 'Browning TD. 2007.An overview of Manin’s conjecture for del Pezzo surfaces. In: A Tribute to Gauss and Dirichlet. Clay Mathemetics Proceedings, vol. 7, 39–56.' mla: Browning, Timothy D. “An Overview of Manin’s Conjecture for Del Pezzo Surfaces.” A Tribute to Gauss and Dirichlet, vol. 7, American Mathematical Society, 2007, pp. 39–56. short: T.D. Browning, in:, A Tribute to Gauss and Dirichlet, American Mathematical Society, 2007, pp. 39–56. date_created: 2019-04-16T14:26:12Z date_published: 2007-01-01T00:00:00Z date_updated: 2021-01-12T08:07:05Z extern: '1' external_id: arxiv: - 0511041v2 intvolume: ' 7' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/math/0511041v2 oa: 1 oa_version: Preprint page: 39-56 publication: A Tribute to Gauss and Dirichlet publication_status: published publisher: American Mathematical Society quality_controlled: '1' series_title: Analytic Number Theory status: public title: An overview of Manin's conjecture for del Pezzo surfaces type: book_chapter user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 7 year: '2007' ...