Sentence examples for be a holomorphic motion from inspiring English sources

Let (Phi :{mathbb D}times Xrightarrow hat{{mathbb C}}) be a holomorphic motion of X.

Then (Phi) has an extension to (hat{Phi }:{mathbb D}times hat{{mathbb C}}) which is a holomorphic motion of (hat{{mathbb C}}) and for each (lambda in {mathbb D}) begin{aligned} hat{Phi }_lambda = hat{Phi }(lambda,cdot ):hat{{mathbb C}}rightarrow hat{{mathbb C}},quad is, frac{1+|lambda |}{1-|lambda |}-{{quasiconformal}}.

Let be a holomorphic self-map and let be a holomorphic function on the unit ball.

Let h be a holomorphic function in (mathbb{B}^{n}).

Let be a holomorphic self-map of and.

Let (L rightarrow X) be a holomorphic line bundle.

Let be a domain in the complex plane and let be a holomorphic function on.

Let be an unbounded domain and let be a holomorphic function continuous on the closure.

Indeed, let be a holomorphic to first-order map with respect to, so that (4.6) holds.

Let (f: Xrightarrow X) be a holomorphic endomorphism of a complex manifold X.

Let f=( f1,…,fm) be a holomorphic mapping in a neighborhood of the origin in Cn.