TY - UNPB
T1 - Points of bounded height on quintic del Pezzo surfaces over number fields
AU - Bernert, Christian
AU - Derenthal, Ulrich
N1 - 30 pages
PY - 2024/5/30
Y1 - 2024/5/30
N2 - We prove Manin's conjecture for split smooth quintic del Pezzo surfaces over arbitrary number fields with respect to fairly general anticanonical height functions. After passing to universal torsors, we first show that we may restrict the torsor variables to their typical sizes, and then we can solve the counting problem in the framework of o-minimal structures.
AB - We prove Manin's conjecture for split smooth quintic del Pezzo surfaces over arbitrary number fields with respect to fairly general anticanonical height functions. After passing to universal torsors, we first show that we may restrict the torsor variables to their typical sizes, and then we can solve the counting problem in the framework of o-minimal structures.
KW - math.NT
KW - math.AG
KW - 11G35 (Primary) 11D45, 14G05 (Secondary)
U2 - 10.48550/arXiv.2405.20293
DO - 10.48550/arXiv.2405.20293
M3 - Preprint
BT - Points of bounded height on quintic del Pezzo surfaces over number fields
ER -