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Complex Geometry of Groups

Edited by: Angel Carocca Pontificia Universidad Católica de Chile, Santiago, Chile
Víctor González-Aguilera Universidad Técnica Federico Santa María, Valparaíso, Chile
Rubí E. Rodríguez Pontificia Universidad Católica de Chile, Santiago
Available Formats:
Softcover ISBN: 978-0-8218-1381-2
Product Code: CONM/240
286 pp
List Price: $90.00 MAA Member Price:$81.00
AMS Member Price: $72.00 Electronic ISBN: 978-0-8218-7830-9 Product Code: CONM/240.E 286 pp List Price:$84.00
MAA Member Price: $75.60 AMS Member Price:$67.20
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $135.00 MAA Member Price:$121.50
AMS Member Price: $108.00 Click above image for expanded view Complex Geometry of Groups Edited by: Angel Carocca Pontificia Universidad Católica de Chile, Santiago, Chile Víctor González-Aguilera Universidad Técnica Federico Santa María, Valparaíso, Chile Rubí E. Rodríguez Pontificia Universidad Católica de Chile, Santiago Available Formats:  Softcover ISBN: 978-0-8218-1381-2 Product Code: CONM/240 286 pp  List Price:$90.00 MAA Member Price: $81.00 AMS Member Price:$72.00
 Electronic ISBN: 978-0-8218-7830-9 Product Code: CONM/240.E 286 pp
 List Price: $84.00 MAA Member Price:$75.60 AMS Member Price: $67.20 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version. List Price:$135.00
MAA Member Price: $121.50 AMS Member Price:$108.00
• Book Details

Contemporary Mathematics
Volume: 2401999
MSC: 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.

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 Lorenz-like attractors [ MR 1703548 ]
• Ch. Birkenhake, V. González-Aguilera and H. Lange - Automorphisms of 3-dimensional abelian varieties [ MR 1703549 ]
• L. Brambila-Paz, L. Hidalgo-Solís and J. Muciño-Raymundo - 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 $&gt;2$ 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 function-theoretic approach to the Ramanujan partition identities with applications to combinatorial number theory [ MR 1703556 ]
• Frederick Gardiner and Linda Keen - Holomorphic motions and quasi-Fuchsian manifolds [ MR 1703557 ]
• Luis Giraldo, Xavier Gómez-Mont 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. González-Díez and W. J. Harvey - Subvarieties of moduli space for Riemann surfaces [ MR 1703560 ]
• Rubén A. Hidalgo - Noded function groups [ MR 1703561 ]
• L. Hidalgo-Solís and S. Recillas-Pishmish - 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 Fenchel-Nielsen 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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Volume: 2401999
MSC: 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.

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 Lorenz-like attractors [ MR 1703548 ]
• Ch. Birkenhake, V. González-Aguilera and H. Lange - Automorphisms of 3-dimensional abelian varieties [ MR 1703549 ]
• L. Brambila-Paz, L. Hidalgo-Solís and J. Muciño-Raymundo - 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 $&gt;2$ 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 function-theoretic approach to the Ramanujan partition identities with applications to combinatorial number theory [ MR 1703556 ]
• Frederick Gardiner and Linda Keen - Holomorphic motions and quasi-Fuchsian manifolds [ MR 1703557 ]
• Luis Giraldo, Xavier Gómez-Mont 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. González-Díez and W. J. Harvey - Subvarieties of moduli space for Riemann surfaces [ MR 1703560 ]
• Rubén A. Hidalgo - Noded function groups [ MR 1703561 ]
• L. Hidalgo-Solís and S. Recillas-Pishmish - 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 Fenchel-Nielsen 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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