Étale tame vanishing cycles over $[{\mathbb{A}}_S^1/{\mathbb{G}}_{m,S}]$

Denis-Charles Cisinski, Massimo Pippi

We develop a theory of tame vanishing cycles for schemes over $[{\mathbb{A}}_S^1/{\mathbb{G}}_{m,S}]$ in the context of étale sheaves. We show some desired properties of this formali…