**Contemporary Mathematics**

Volume: 240;
1999;
286 pp;
Softcover

MSC: Primary 30;
Secondary 14

Print ISBN: 978-0-8218-1381-2

Product Code: CONM/240

List Price: $84.00

AMS Member Price: $67.20

MAA Member Price: $75.60

**Electronic ISBN: 978-0-8218-7830-9
Product Code: CONM/240.E**

List Price: $84.00

AMS Member Price: $67.20

MAA Member Price: $75.60

# Complex Geometry of Groups

Share this page *Edited by *
*Angel Carocca; Víctor González-Aguilera; Rubí E. Rodríguez*

This volume presents the proceedings of the I
Iberoamerican Congress on Geometry: Cruz del Sur held in
Olmué, Chile. The main topic was “The Geometry of Groups:
Curves, Abelian Varieties, Theoretical and Computational
Aspects”. Participants came from all over the world.

The volume gathers the expanded contributions from most of the
participants in the Congress. Articles reflect the topic in its
diversity and unity, and in particular, the work done on the subject
by Iberoamerican mathematicians. Original results and surveys are
included on the following areas: curves and Riemann surfaces, abelian
varieties, and complex dynamics. The approaches are varied, including
Kleinian groups, quasiconformal mappings and Teichmüller spaces,
function theory, moduli spaces, automorphism groups, algebraic
geometry, and more.

#### Readership

Graduate students and research mathematicians interested in functions of a complex variable.

# Table of Contents

## Complex Geometry of Groups

- Contents vii8 free
- Preface ix10 free
- Complex geometry in Chile: Panorama and perspectives 112 free
- Quasiconformal conjugation of Möbius transformations 718
- A family of n-dimensional differential equations with Lorenz-like attractors 1324
- Automorphisms of 3-dimensional Abelian varieties 2536
- On restrictions of the Picard bundle 4960
- Representations of triangle groups in the Heisenberg group 5768
- Recent progress on the geometry of univalence criteria 7586
- On anticonformal automorphisms of order >2 of Riemann surfaces 89100
- Isomorphisms between generalized Teichmüller spaces 97108
- Ramanujan partition identities 111122
- A function theoretic approach to the Ramanujan partition identities with applications to combinatorial number theory 131142
- Holomorphic motions and quasifuchsian manifolds 159170
- Computation of topological numbers via linear algebra: Hypersurfaces, vector fields and vector fields on hypersurfaces 175186
- Cyclic coverings of a smooth curve and Branch locus of the moduli space of smooth curves 183194
- Subvarieties of moduli space for Riemann surfaces 197208
- Noded function groups 209220
- The hyperelliptic fibre of the Prym map in genus four 223234
- From the shift loci to the connectedness loci of complex polynomials 231242
- Some properties of the operator of exterior derivation on surfaces of revolution and Lp-cohomology 247258
- Matrices for Fenchel-Nielsen parameters in genus 2 259270
- Arithmetic Fuchsian groups of signature (0;e1 ,e2 ,e3 ,e4 ) with 2 ≤ e1 ≤ e2 ≤ e3, e4 = ∞ 269280
- Geometric and holomorphic moduli for extremal Riemann surfaces 279290