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Equisymmetric strata of the singular locus of the moduli space of Riemann surfaces of genus 4
Departamento de Matemáticas Fundamentales, UNED, Spain.
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-9557-9566
2010 (English)In: Geometry of Riemann Surfaces: proceedings of the Anogia conference to celebrate the 65th birthday of William J. Harvey / [ed] Frederick P. Gardiner, Gabino González-Diez, Christos Kourouniotis, Cambridge University Press, 2010, 120-138 p.Chapter in book (Other academic)
Abstract [en]

Riemann surfaces is a thriving area of mathematics with applications to hyperbolic geometry, complex analysis, fractal geometry, conformal dynamics, discrete groups, geometric group theory, algebraic curves and their moduli, various kinds of deformation theory, coding, thermodynamic formalism, and topology of three-dimensional manifolds. This collection of articles, authored by leading authorities in the field, comprises 16 expository essays presenting original research and expert surveys of important topics related to Riemann surfaces and their geometry. It complements the body of recorded research presented in the primary literature by broadening, re-working and extending it in a more focused and less formal framework, and provides a valuable commentary on contemporary work in the subject. An introductory section sets the scene and provides sufficient background to allow graduate students and research workers from other related areas access to the field.

Place, publisher, year, edition, pages
Cambridge University Press, 2010. 120-138 p.
, London Mathematical Society Lecture Note Series, 368
National Category
Natural Sciences
URN: urn:nbn:se:liu:diva-85163ISBN: 978-0-521-73307-6OAI: diva2:565648

The moduli space Mg is the space of analytic equivalence classes of Riemann surfaces of a fixed genus g. The space Mg has a natural equisymmetric stratification, each stratum consists of the Riemann surfaces with an automorphisms group acting in a given topological way. Using Fuchsian groups we describe the equisymmetrical stratification for the moduli space of surfaces of genus 4.

Available from: 2012-11-08 Created: 2012-11-08 Last updated: 2015-03-09Bibliographically approved

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