Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
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
Complex Geometry of Groups
Softcover ISBN:  978-0-8218-1381-2
Product Code:  CONM/240
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7830-9
Product Code:  CONM/240.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-1381-2
eBook: ISBN:  978-0-8218-7830-9
Product Code:  CONM/240.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Complex Geometry of Groups
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
Softcover ISBN:  978-0-8218-1381-2
Product Code:  CONM/240
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7830-9
Product Code:  CONM/240.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-1381-2
eBook ISBN:  978-0-8218-7830-9
Product Code:  CONM/240.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2401999; 286 pp
    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.

    Readership

    Graduate 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 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 $>2$ 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 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2401999; 286 pp
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.

Readership

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 $>2$ 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 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.