Manin's conjecture for quartic del Pezzo surfaces with a conic fibration

Abstract

An asymptotic formula is established for the number of rational points of bounded height on a non-singular quartic del Pezzo surface with a conic bundle structure.

61 pages

References in corpus (3)

• Tamagawa numbers of polarized algebraic varieties
• Sums of arithmetic functions over values of binary forms
• Manin's conjecture on a nonsingular quartic del Pezzo surface

Cited by in corpus (9)

• Rational points of bounded height on general conic bundle surfaces
• Counting rational points on smooth cubic surfaces
• Integral points of bounded height on a log Fano threefold
• Approximation diophantienne et distribution locale sur une surface torique
• Le problème des diviseurs pour des formes binaires de degré 4
• Counting rational points on quartic del Pezzo surfaces with a rational conic
• Generalised divisor sums of binary forms over number fields
• The Manin-Peyre conjecture for smooth spherical Fano varieties of semisimple rank one
• Counting rational points over number fields on a singular cubic surface