eBook ISBN:  9780821879870 
Product Code:  CONM/397.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821879870 
Product Code:  CONM/397.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 397; 2006; 236 ppMSC: 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.
ReadershipGraduate 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 GonzálezDiez — 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. GonzálezMartínez — 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. GonzálezAguilera, J. M. MuñozPorras and Alexis G. Zamora — Some recent results on the irreducible components of the singular locus of $A_g$ [ MR 2218002 ]

M. R. GonzalezDorrego — 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 2dimensional ContouCarrère 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 ]


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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.
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 GonzálezDiez — 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. GonzálezMartínez — 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. GonzálezAguilera, J. M. MuñozPorras and Alexis G. Zamora — Some recent results on the irreducible components of the singular locus of $A_g$ [ MR 2218002 ]

M. R. GonzalezDorrego — 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 2dimensional ContouCarrère 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 ]