Abstract
In this paper the height zeta function associated to a certain singular del Pezzo surface of degree four is studied. If U denotes the open subset formed by deleting the unique line from this surface, then an asymptotic formula for the number of rational points of bounded height on U is established which verifies the Manin conjecture.
| Translated title of the contribution | On Manin's conjecture for singular del Pezzo surfaces of degree four, I |
|---|---|
| Original language | English |
| Pages (from-to) | 51 - 80 |
| Number of pages | 30 |
| Journal | Michigan Mathematical Journal |
| Volume | 55 (1) |
| DOIs | |
| Publication status | Published - Apr 2007 |