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Product Code:  CONM/240 
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Book DetailsContemporary MathematicsVolume: 240; 1999; 286 ppMSC: Primary 30; Secondary 14;
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.ReadershipGraduate students and research mathematicians interested in functions of a complex variable.

Table of Contents

Articles

Rubí E. Rodríguez  Complex geometry in Chile: panorama and perspectives [ MR 1703546 ]

William Abikoff  Quasiconformal conjugation of Möbius transformations [ MR 1703547 ]

Rodrigo Bamón  A family of $n$dimensional differential equations with Lorenzlike attractors [ MR 1703548 ]

Ch. Birkenhake, V. GonzálezAguilera and H. Lange  Automorphisms of 3dimensional abelian varieties [ MR 1703549 ]

L. BrambilaPaz, L. HidalgoSolís and J. MuciñoRaymundo  On restrictions of the Picard bundle [ MR 1703550 ]

Alberto M. Castro  Representations of triangle groups in the Heisenberg group [ MR 1703551 ]

Martin Chuaqui and Brad Osgood  Recent progress on the geometry of univalence criteria [ MR 1703552 ]

Antonio F. Costa and Ana M. Porto  On anticonformal automorphisms of order $>2$ of Riemann surfaces [ MR 1703553 ]

C. J. Earle, F. P. Gardiner and N. Lakic  Isomorphisms between generalized Teichmüller spaces [ MR 1703554 ]

Hershel M. Farkas and Irwin Kra  Ramanujan partition identities [ MR 1703555 ]

Hershel M. Farkas and Irwin Kra  A functiontheoretic approach to the Ramanujan partition identities with applications to combinatorial number theory [ MR 1703556 ]

Frederick Gardiner and Linda Keen  Holomorphic motions and quasiFuchsian manifolds [ MR 1703557 ]

Luis Giraldo, Xavier GómezMont and Pavao Mardešić  Computation of topological numbers via linear algebra: hypersurfaces, vector fields and vector fields on hypersurfaces [ MR 1703558 ]

Esteban Gómez González  Cyclic coverings of a smooth curve and branch locus of the moduli space of smooth curves [ MR 1703559 ]

G. GonzálezDíez and W. J. Harvey  Subvarieties of moduli space for Riemann surfaces [ MR 1703560 ]

Rubén A. Hidalgo  Noded function groups [ MR 1703561 ]

L. HidalgoSolís and S. RecillasPishmish  The hyperelliptic fibre of the Prym map in genus four [ MR 1703562 ]

Jan Kiwi  From the shift loci to the connectedness loci of complex polynomials [ MR 1703563 ]

Yaroslav A. Kopylov  Some properties of the operator of exterior derivation on surfaces of revolution and $L_p$cohomology [ MR 1703564 ]

Bernard Maskit  Matrices for FenchelNielsen parameters in genus 2 [ MR 1703565 ]

T. Nakanishi, M. Näätänen and G. Rosenberger  Arithmetic Fuchsian groups of signature $(0;e_1,e_2,e_3,e_4)$ with $2\leq e_1\leq e_2\leq e_3,\ e_4=\infty $ [ MR 1703566 ]

J. R. Quine  Geometric and holomorphic moduli for extremal Riemann surfaces [ MR 1703567 ]


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

Articles

Rubí E. Rodríguez  Complex geometry in Chile: panorama and perspectives [ MR 1703546 ]

William Abikoff  Quasiconformal conjugation of Möbius transformations [ MR 1703547 ]

Rodrigo Bamón  A family of $n$dimensional differential equations with Lorenzlike attractors [ MR 1703548 ]

Ch. Birkenhake, V. GonzálezAguilera and H. Lange  Automorphisms of 3dimensional abelian varieties [ MR 1703549 ]

L. BrambilaPaz, L. HidalgoSolís and J. MuciñoRaymundo  On restrictions of the Picard bundle [ MR 1703550 ]

Alberto M. Castro  Representations of triangle groups in the Heisenberg group [ MR 1703551 ]

Martin Chuaqui and Brad Osgood  Recent progress on the geometry of univalence criteria [ MR 1703552 ]

Antonio F. Costa and Ana M. Porto  On anticonformal automorphisms of order $>2$ of Riemann surfaces [ MR 1703553 ]

C. J. Earle, F. P. Gardiner and N. Lakic  Isomorphisms between generalized Teichmüller spaces [ MR 1703554 ]

Hershel M. Farkas and Irwin Kra  Ramanujan partition identities [ MR 1703555 ]

Hershel M. Farkas and Irwin Kra  A functiontheoretic approach to the Ramanujan partition identities with applications to combinatorial number theory [ MR 1703556 ]

Frederick Gardiner and Linda Keen  Holomorphic motions and quasiFuchsian manifolds [ MR 1703557 ]

Luis Giraldo, Xavier GómezMont and Pavao Mardešić  Computation of topological numbers via linear algebra: hypersurfaces, vector fields and vector fields on hypersurfaces [ MR 1703558 ]

Esteban Gómez González  Cyclic coverings of a smooth curve and branch locus of the moduli space of smooth curves [ MR 1703559 ]

G. GonzálezDíez and W. J. Harvey  Subvarieties of moduli space for Riemann surfaces [ MR 1703560 ]

Rubén A. Hidalgo  Noded function groups [ MR 1703561 ]

L. HidalgoSolís and S. RecillasPishmish  The hyperelliptic fibre of the Prym map in genus four [ MR 1703562 ]

Jan Kiwi  From the shift loci to the connectedness loci of complex polynomials [ MR 1703563 ]

Yaroslav A. Kopylov  Some properties of the operator of exterior derivation on surfaces of revolution and $L_p$cohomology [ MR 1703564 ]

Bernard Maskit  Matrices for FenchelNielsen parameters in genus 2 [ MR 1703565 ]

T. Nakanishi, M. Näätänen and G. Rosenberger  Arithmetic Fuchsian groups of signature $(0;e_1,e_2,e_3,e_4)$ with $2\leq e_1\leq e_2\leq e_3,\ e_4=\infty $ [ MR 1703566 ]

J. R. Quine  Geometric and holomorphic moduli for extremal Riemann surfaces [ MR 1703567 ]