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The geometry of Riemann surfaces and Abelian varieties : [electronic resource] III Iberoamerican Congress on Geometry in honor of Professor Sevin Recillas-Pishmish's 60th birthday, June 8-12, 2004, Salamanca, Spain / Jose M. Munoz Porras, Sorin Popescu, Rubi E. Rodriguez, editors.

By: (3rd : Iberoamerican Congress on Geometry (3rd : 2004 : Salamanca, Spain)Contributor(s): Mu�noz Porras, Jose M. (Jos�e Mar�ia), 1956- | Popescu, Sorin, 1963- | Rodr�iguez, Rub�i E, 1953- | Recillas-Pishmish, Sev�in, 1943-Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 397.Publication details: Providence, R.I. : American Mathematical Society, c2006Description: 1 online resource (x, 236 p. : ill.)ISBN: 9780821879870 (online)Other title: Geometry of Riemann surfaces and Abelian varietiesSubject(s): Riemann surfaces -- Congresses | Abelian groups -- CongressesAdditional physical formats: geometry of Riemann surfaces and Abelian varieties :DDC classification: 515/.93 LOC classification: QA333 | .I24 2004Online resources: Contents | Contents

Contents:

M�obius transformations of the circle form a maximal convergence group / Ara Basmajian and Mahmoud Zeinalian -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07456 On the polar linear system of a foliation by curves in a projective space / Antonio Campillo and Jorge Olivares -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07457 Birational classification of hyperelliptic real algebraic curves / Francisco Javier Cirre -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07458 The genus two Jacobians that are isomorphic to a product of elliptic curves / Clifford J. Earle -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07459 Vanishing thetanulls and Jacobians / Hershel M. Farkas -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07460 Theta functions, geometric quantization and unitary Schottky bundles / Carlos Florentino, Jos�e Mour�ao and Jo�ao P. Nunes -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07461 Smooth double coverings of hyperelliptic curves / Yolanda Fuertes and Gabino Gonz�alez-Diez -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07462 Planar families of discrete groups / Jane Gilman and Linda Keen -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07463 Generalized addition formulae for theta functions / E. G�omez Gonz�alez and C. Gonz�alez-Mart�inez -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07464 Curves with a group action and Galois covers via infinite Grassmannians / E. G�omez Gonz�alez and F. J. Plaza Mart�in -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07465 Some recent results on the irreducible components of the singular locus of $A_g$ / V. Gonz�alez-Aguilera, J. M. Mu�noz-Porras and Alexis G. Zamora -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07466 A note on the arithmetic genus of reducible plane curves / M. R. Gonzalez-Dorrego -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07467 Teichm�uller curves defined by characteristic origamis / Frank Herrlich -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07468 Lowest uniformizations of compact real surfaces / Rub�en A. Hidalgo and Bernard Maskit -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07469 Principal polarizations on products of elliptic curves / Herbert Lange -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07470 An approach to a 2-dimensional Contou-Carr�ere symbol / Fernando Pablos Romo -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07471 Prym varieties and fourfold covers. II. The dihedral case / Sev�in Recillas and Rub�i E. Rodr�iguez -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07472 Examples for Veech groups of origamis / Gabriela Schmith�usen -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07473 Genus 2 translation surfaces with an order 4 automorphism / Robert Silhol -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07474 The Pfaffian structure defining a Prym theta divisor / Roy Smith and Robert Varley -- http://www.ams.org/conm/397/ http://dx.doi.org/10.1090/conm/397/07475

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Includes bibliographical references.

M�obius transformations of the circle form a maximal convergence group / Ara Basmajian and Mahmoud Zeinalian -- On the polar linear system of a foliation by curves in a projective space / Antonio Campillo and Jorge Olivares -- Birational classification of hyperelliptic real algebraic curves / Francisco Javier Cirre -- The genus two Jacobians that are isomorphic to a product of elliptic curves / Clifford J. Earle -- Vanishing thetanulls and Jacobians / Hershel M. Farkas -- Theta functions, geometric quantization and unitary Schottky bundles / Carlos Florentino, Jos�e Mour�ao and Jo�ao P. Nunes -- Smooth double coverings of hyperelliptic curves / Yolanda Fuertes and Gabino Gonz�alez-Diez -- Planar families of discrete groups / Jane Gilman and Linda Keen -- Generalized addition formulae for theta functions / E. G�omez Gonz�alez and C. Gonz�alez-Mart�inez -- Curves with a group action and Galois covers via infinite Grassmannians / E. G�omez Gonz�alez and F. J. Plaza Mart�in -- Some recent results on the irreducible components of the singular locus of $A_g$ / V. Gonz�alez-Aguilera, J. M. Mu�noz-Porras and Alexis G. Zamora -- A note on the arithmetic genus of reducible plane curves / M. R. Gonzalez-Dorrego -- Teichm�uller curves defined by characteristic origamis / Frank Herrlich -- Lowest uniformizations of compact real surfaces / Rub�en A. Hidalgo and Bernard Maskit -- Principal polarizations on products of elliptic curves / Herbert Lange -- An approach to a 2-dimensional Contou-Carr�ere symbol / Fernando Pablos Romo -- Prym varieties and fourfold covers. II. The dihedral case / Sev�in Recillas and Rub�i E. Rodr�iguez -- Examples for Veech groups of origamis / Gabriela Schmith�usen -- Genus 2 translation surfaces with an order 4 automorphism / Robert Silhol -- The Pfaffian structure defining a Prym theta divisor / Roy Smith and Robert Varley --