${\mathbb{A}}^1$-fibration in algebraic geometry and ${\mathbb{A}}^1$-homotopy type

Utsav Choudhury, Aritra Mandal, Biman Roy

In this article we show that an ${\mathbb{A}}^1$ bundle map or a vector bundle map $p:X\to Y$ induces trivial local fibration $\underline{Sing}(X)\to \underline{Sing}(Y)$. Using t…