For del Pezzo surfaces of degree at most 5 and for smooth cubic hypersurfaces and intersections of two quadrics over F_q(t), the paper obtains upper bounds N(q^e) = O((C q)^e) with C independent of e, so the exponent is close to Batyrev-Manin when q is large.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Linear growth and moduli spaces of rational curves
For del Pezzo surfaces of degree at most 5 and for smooth cubic hypersurfaces and intersections of two quadrics over F_q(t), the paper obtains upper bounds N(q^e) = O((C q)^e) with C independent of e, so the exponent is close to Batyrev-Manin when q is large.