B\"ottcher Coordinates Xavier BuffAdam EpsteinSarah Koch 32B9932A99Bottcher Coordinates in several variablesliftable vector fieldspostcritically finite endomorphisms A well-known theorem of B\"ottcher asserts that an analytic germ $f:(\mathbb{C},0)\to(\mathbb{C},0)$ which has a superattracting fixed point at $0$, more precisely of the form $f(z)=az^k+o(z^k)$ for some $a\in\mathbb{C}^{*}$, is analytically conjugate to $z\mapsto az^k$ by an analytic germ $\phi:(\mathbb{C},0)\to(\mathbb{C},0)$ which is tangent to the identity at $0$. In this article, we generalize this result to analytic maps of several complex variables. Indiana University Mathematics Journal 2012 text pdf 10.1512/iumj.2012.61.4981 10.1512/iumj.2012.61.4981 en Indiana Univ. Math. J. 61 (2012) 1765 - 1799 state-of-the-art mathematics http://iumj.org/access/