#### Vol. 15, No. 8, 2021

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Manin's conjecture and the Fujita invariant of finite covers

### Akash Kumar Sengupta

Vol. 15 (2021), No. 8, 2071–2087
##### Abstract

We prove a conjecture of Lehmann and 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.

##### Keywords
Manin's conjecture, Fujita invariant
##### Mathematical Subject Classification
Primary: 14E30, 14G05