On Manin’s conjecture for singular del Pezzo surfaces of degree four, I
نویسنده
چکیده
This paper contains a proof of the Manin conjecture for the singular del Pezzo surface X : x0x1 − x2 = x0x4 − x1x2 + x3 = 0, of degree four. In fact, if U ⊂ X is the open subset formed by deleting the unique line from X, and H is the usual height function on P(Q), then the height zeta function P x∈U(Q) H(x) −s is analytically continued to the half-plane 9/10. Mathematics Subject Classification (2000): 11G35 (14G05, 14G10)
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