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The Geometry of Riemann Surfaces and Abelian Varieties
 
Edited by: José M. Muñoz Porras Universidad de Salamanca, Salamanca, Spain
Sorin Popescu State University of New York at Stony Brook, Stony Brook, NY
Rubí E. Rodríguez Pontificia Universidad Católica de Chile, Santiago, Chile
The Geometry of Riemann Surfaces and Abelian Varieties
eBook ISBN:  978-0-8218-7987-0
Product Code:  CONM/397.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
The Geometry of Riemann Surfaces and Abelian Varieties
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The Geometry of Riemann Surfaces and Abelian Varieties
Edited by: José M. Muñoz Porras Universidad de Salamanca, Salamanca, Spain
Sorin Popescu State University of New York at Stony Brook, Stony Brook, NY
Rubí E. Rodríguez Pontificia Universidad Católica de Chile, Santiago, Chile
eBook ISBN:  978-0-8218-7987-0
Product Code:  CONM/397.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3972006; 236 pp
    MSC: Primary 30; 14

    Most of the papers in this book deal with the theory of Riemann surfaces (moduli problems, automorphisms, etc.), abelian varieties, theta functions, and modular forms. Some of the papers contain surveys on the recent results in the topics of current interest to mathematicians, whereas others contain new research results.

    Readership

    Graduate students and research mathematicians interested in algebraic geometry and complex geometry.

  • Table of Contents
     
     
    • Articles
    • Ara Basmajian and Mahmoud Zeinalian — Möbius transformations of the circle form a maximal convergence group [ MR 2217992 ]
    • Antonio Campillo and Jorge Olivares — On the polar linear system of a foliation by curves in a projective space [ MR 2217993 ]
    • Francisco Javier Cirre — Birational classification of hyperelliptic real algebraic curves [ MR 2217994 ]
    • Clifford J. Earle — The genus two Jacobians that are isomorphic to a product of elliptic curves [ MR 2217995 ]
    • Hershel M. Farkas — Vanishing thetanulls and Jacobians [ MR 2217996 ]
    • Carlos Florentino, José Mourão and João P. Nunes — Theta functions, geometric quantization and unitary Schottky bundles [ MR 2217997 ]
    • Yolanda Fuertes and Gabino González-Diez — Smooth double coverings of hyperelliptic curves [ MR 2217998 ]
    • Jane Gilman and Linda Keen — Planar families of discrete groups [ MR 2217999 ]
    • E. Gómez González and C. González-Martínez — Generalized addition formulae for theta functions [ MR 2218000 ]
    • E. Gómez González and F. J. Plaza Martín — Curves with a group action and Galois covers via infinite Grassmannians [ MR 2218001 ]
    • V. González-Aguilera, J. M. Muñoz-Porras and Alexis G. Zamora — Some recent results on the irreducible components of the singular locus of $A_g$ [ MR 2218002 ]
    • M. R. Gonzalez-Dorrego — A note on the arithmetic genus of reducible plane curves [ MR 2218003 ]
    • Frank Herrlich — Teichmüller curves defined by characteristic origamis [ MR 2218004 ]
    • Rubén A. Hidalgo and Bernard Maskit — Lowest uniformizations of compact real surfaces [ MR 2218005 ]
    • Herbert Lange — Principal polarizations on products of elliptic curves [ MR 2218006 ]
    • Fernando Pablos Romo — An approach to a 2-dimensional Contou-Carrère symbol [ MR 2218007 ]
    • Sevín Recillas and Rubí E. Rodríguez — Prym varieties and fourfold covers. II. The dihedral case [ MR 2218008 ]
    • Gabriela Schmithüsen — Examples for Veech groups of origamis [ MR 2218009 ]
    • Robert Silhol — Genus 2 translation surfaces with an order 4 automorphism [ MR 2218010 ]
    • Roy Smith and Robert Varley — The Pfaffian structure defining a Prym theta divisor [ MR 2218011 ]
  • Additional Material
     
     
  • 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: 3972006; 236 pp
MSC: Primary 30; 14

Most of the papers in this book deal with the theory of Riemann surfaces (moduli problems, automorphisms, etc.), abelian varieties, theta functions, and modular forms. Some of the papers contain surveys on the recent results in the topics of current interest to mathematicians, whereas others contain new research results.

Readership

Graduate students and research mathematicians interested in algebraic geometry and complex geometry.

  • Articles
  • Ara Basmajian and Mahmoud Zeinalian — Möbius transformations of the circle form a maximal convergence group [ MR 2217992 ]
  • Antonio Campillo and Jorge Olivares — On the polar linear system of a foliation by curves in a projective space [ MR 2217993 ]
  • Francisco Javier Cirre — Birational classification of hyperelliptic real algebraic curves [ MR 2217994 ]
  • Clifford J. Earle — The genus two Jacobians that are isomorphic to a product of elliptic curves [ MR 2217995 ]
  • Hershel M. Farkas — Vanishing thetanulls and Jacobians [ MR 2217996 ]
  • Carlos Florentino, José Mourão and João P. Nunes — Theta functions, geometric quantization and unitary Schottky bundles [ MR 2217997 ]
  • Yolanda Fuertes and Gabino González-Diez — Smooth double coverings of hyperelliptic curves [ MR 2217998 ]
  • Jane Gilman and Linda Keen — Planar families of discrete groups [ MR 2217999 ]
  • E. Gómez González and C. González-Martínez — Generalized addition formulae for theta functions [ MR 2218000 ]
  • E. Gómez González and F. J. Plaza Martín — Curves with a group action and Galois covers via infinite Grassmannians [ MR 2218001 ]
  • V. González-Aguilera, J. M. Muñoz-Porras and Alexis G. Zamora — Some recent results on the irreducible components of the singular locus of $A_g$ [ MR 2218002 ]
  • M. R. Gonzalez-Dorrego — A note on the arithmetic genus of reducible plane curves [ MR 2218003 ]
  • Frank Herrlich — Teichmüller curves defined by characteristic origamis [ MR 2218004 ]
  • Rubén A. Hidalgo and Bernard Maskit — Lowest uniformizations of compact real surfaces [ MR 2218005 ]
  • Herbert Lange — Principal polarizations on products of elliptic curves [ MR 2218006 ]
  • Fernando Pablos Romo — An approach to a 2-dimensional Contou-Carrère symbol [ MR 2218007 ]
  • Sevín Recillas and Rubí E. Rodríguez — Prym varieties and fourfold covers. II. The dihedral case [ MR 2218008 ]
  • Gabriela Schmithüsen — Examples for Veech groups of origamis [ MR 2218009 ]
  • Robert Silhol — Genus 2 translation surfaces with an order 4 automorphism [ MR 2218010 ]
  • Roy Smith and Robert Varley — The Pfaffian structure defining a Prym theta divisor [ MR 2218011 ]
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
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