Manin's Conjecture and the Fujita invariant of finite covers

Abstract

We prove a conjecture of Lehmann-Tanimoto about the behaviour of the Fujita invariant (or $a$-constant appearing in Manin's conjecture) under pull-back to generically finite covers. As a consequence we obtain results about geometric consistency of Manin's conjecture.

arXiv commentTypos corrected

References in corpus (6)

• Finiteness of algebraic fundamental groups
• Étale fundamental groups of Kawamata log terminal spaces, flat sheaves, and quotients of Abelian varieties
• Rational points on some Fano cubic bundles
• Geometric Manin's Conjecture and rational curves
• On the geometry of thin exceptional sets in Manin's Conjecture
• On Fujita invariants of subvarieties of a uniruled variety

Cited by in corpus (2)

• On upper bounds of Manin type
• Campana points, Height zeta functions, and log Manin's conjecture