On Manin's conjecture for singular del Pezzo surfaces of degree four, II

• Autores: Régis de la Bretèche, T. D. Browning
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 143, Nº 3, 2007, págs. 579-605
• Idioma: inglés
• DOI: 10.1017/s0305004107000205
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• Resumen

  • This paper establishes the Manin conjecture for a certain non-split singular del Pezzo surface of degree four . In fact, if U ? X is the open subset formed by deleting the lines from X, and H is the usual projective height function on , then the height zeta function is analytically continued to the half-plane e(s) > 17/20.