3 papers
math.AG2024
Quasi-étale covers of Du Val del Pezzo surfaces and Zariski dense exceptional sets in Manin's conjecture
Runxuan Gao
We construct first examples of singular del Pezzo surfaces with Zariski dense exceptional sets in Manin's conjecture, varying in degrees and . The obstructions arise from…
math.AG2023
The geometric exceptional set in Manin's conjecture for Batyrev and Tschinkel's example
Runxuan Gao
Batyrev and Tschinkel's example is a Fermat cubic surface bundle which is a Fano -fold. It is the first example for which Manin's conjecture can never hold for a proper clos…
math.AG2022
A Zariski dense exceptional set in Manin's conjecture: dimension 2
Runxuan Gao
Recently, Lehmann, Sengupta, and Tanimoto proposed a conjectural construction of the exceptional set in Manin's Conjecture, which we call the geometric exceptional set. We construc…