O'Reilly logo

Dynamics in One Complex Variable. (AM-160), 3rd Edition by John Milnor

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

§12. The Holomorphic Fixed Point Formula

The number of fixed points of a rational map f : imageimage of degree d ≥ 0, can be counted as follows.

Lemma 12.1. If f is not the identity map, then f has exactly d + 1 fixed points, counted with multiplicity.

Here the multiplicity of a finite fixed point image = f(image) is defined to be the unique integer m ≥ 1 for which ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required