Fundamental polygon

id: fundamental-polygon-236-8067462
title: Fundamental polygon
text: In mathematics, a fundamental polygon can be defined for every compact Riemann surface of genus greater than 0. It encodes not only the topology of the surface through its fundamental group but also determines the Riemann surface up to conformal equivalence. By the uniformization theorem, every compact Riemann surface has simply connected universal covering surface given by exactly one of the following: the Riemann sphere, the complex plane, the unit disk D or equivalently the upper half-plane H
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category slug: encyclopedia
description:
original url: https://en.wikipedia.org/wiki/Fundamental_polygon
date created:
date modified: 2024-03-31T15:05:49Z
main entity: {"identifier":"Q444931","url":"https://www.wikidata.org/entity/Q444931"}
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fields total: 13
integrity: 13

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