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.
Mobius transformations of the circle form a maximal convergence group by A. Basmajian and M. Zeinalian On the polar linear system of a foliation by curves in a projective space by A. Campillo and J. Olivares Birational classification of hyperelliptic real algebraic curves by F. J. Cirre The genus two Jacobians that are isomorphic to a product of elliptic curves by C. J. Earle Vanishing thetanulls and Jacobians by H. M. Farkas Theta functions, geometric quantization and unitary Schottky bundles by C. Florentino, J. Mourao, and J. P. Nunes Smooth double coverings of hyperelliptic curves by Y. Fuertes and G. Gonzalez-Diez Planar families of discrete groups by J. Gilman and L. Keen Generalized addition formulae for theta functions by E. Gomez Gonzalez and C. Gonzalez-Martinez Curves with a group action and Galois covers via infinite Grassmannians by E. Gomez Gonzalez and F. J. P. Martin Some recent results on the irreducible components of the singular locus of $A_g$ by V. Gonzalez-Aguilera, J. M. Munoz-Porras, and A. G. Zamora A note on the arithmetic genus of reducible plane curves by M. R. Gonzalez-Dorrego Teichmuller curves defined by characteristic origamis by F. Herrlich Lowest uniformizations of compact real surfaces by R. A. Hidalgo and B. Maskit Principal polarizations on products of elliptic curves by H. Lange An approach to a 2-dimensional Contou-Carrere symbol by F. P. Romo Prym varieties and fourfold covers II: The dihedral case by S. Recillas and R. E. Rodriguez Examples for Veech groups of origamis by G. Schmithusen Genus 2 translation surfaces with an order 4 automorphism by R. Silhol The Pfaffian structure defining a Prym theta divisor by R. Smith and R. Varley.
