Corrigendum to `Evaluation of motivic functions, non-nullity, and integrability in fibers', Advances in Mathematics, Vol. 409, Part A, Paper No. 108635, 29 pages, doi:10.1016/j.aim.2022.108635 (2022)

TL;DR

This corrigendum corrects previous propositions in a mathematical paper on motivic functions, ensuring the validity of its main results through revised proofs.

Contribution

It provides necessary corrections to earlier propositions and adapts the main results' proofs accordingly.

Findings

Corrected statements and proofs of Propositions 4.1 and 4.2.

Clarification on adapting main results with corrected propositions.

Ensured validity of the original paper's conclusions.

Abstract

We correct the statements and proofs of the (auxiliary) Propositions 4.1 and 4.2 of our paper `Evaluation of motivic functions, non-nullity, and integrability in fibers' in Advances in Mathematics, Vol. 409, Part A, Paper No. 108635, 29 pages (2022), and we explain how the proofs of the main results can be adapted to work with those corrected propositions.