ec 2 00 4 On Manin ’ s conjecture for singular del Pezzo surfaces of degree four ,

Abstract

This paper contains a proof of the Manin conjecture for the singular del Pezzo surface X : x0x1 − x 2 2 = x0x4 − x1x2 + x 2 3 = 0, of degree four. In fact, if U ⊂ X is the open subset formed by deleting the unique line from X, and H : P 4 (Q) → R 0 is the usual projective height function, then the height zeta function x∈U (Q) H(x) −s is analytically… (More)

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