Published online by Cambridge University Press: 01 November 2007
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 ℜe(s) > 17/20.