Schottky group

Schottky group

In mathematics, a Schottky group is a special sort of Kleinian group, first studied by Friedrich Schottky Contents. [hide]. 1 Definition; 2 Properties  ‎ Definition · ‎ Properties · ‎ Classical and non-classical · ‎ Limit sets of Schottky groups.
A group of Möbius transformations is said to be a marked Schottky group of genus g with standard generators T\, * • •, T0, if there exist disjoint Jordan curves Fi.
non-K\"ahler compact complex manifolds having free fundamental groups. As a byproduct, we see that the Schottky construction allows to. Sign up or log in. We'll provide a PDF copy for your screen reader. It is perfect and nowhere dense with positive logarithmic capacity. Conversely any compact Riemann surface of genus g can be obtained from some Schottky group group of genus g. Can you define what are these "loxodromic" elements?

Schottky group - water

Learn more about Stack Overflow the company. Princeton University and the Institute for Advanced Study. Fix some point p on the Riemann sphere. AchimKrause Yes - in some sense - the Riemann surface being considered is an uniformization of a branched Riemann surface - the original branching is about a finite number of line-segments. Sign up using Facebook.

Schottky group - music

Learn more about Stack Overflow the company. Absorbed: Journals that are combined with another title. By posting your answer, you agree to the privacy policy and terms of service. Fixed walls: Journals with no new volumes being added to the archive. MathOverflow is a question and answer site for professional mathematicians. In it, you'll get:. I am quoting the following description from a paper,..