Lectures on Riemann surfaces
Subtitle: proceedings of the College on Riemann Surfaces, International Centre for Theoretical Physics, Trieste, Italy, 9 Nov.-18 Dec., 1987
By: editors, M. Cornalba, X. Gomez-Mont, A. Verjovsky.
Contributors: Cornalba, M.; Gomez-Mont, X. 1951-; Verjovsky, A.; International Centre for Theoretical Physics.
Publisher: World Scientific; World Scientific Publishing Company; World Scientific Publishing Co Pte Ltd
Published: 1989
Place of publication: Singapore; Teaneck, NJ
Language: eng
Number of pages: 704
Subjects: Riemann surfaces -- Congresses.
Notes: Includes bibliographical references.
"Revised versions of most of the original notes, covering the entire spectrum of the subjects touched upon during the College, from the foundational ones to areas of very active current research"--P. v.
Table of contents: title: Complex analytic theory of Teichmüller space / R.M. Porter; title: Riemann surfaces, moduli, and hyperbolic geometry / S.A. Wolpert; title: Gauge theory on Riemann surfaces / N.J. Hitchin; title: Graph curves and curves on K3 surfaces / R. Miranda; title: Koszul cohomology and geometry / M.L. Green; title: Constructing the moduli space of stable curves / I. Morrison; title: Meromorphic functions and cohomology on a Riemann surface / X. Gomez-Mont; title: The theorems of Riemann-Roch and Abel / M. Cornalba; title: The Jacobian variety of a Riemann surface and its theta geometry / R. Smith; title: Families of varieties and the Hilbert scheme / C. Ciliberto and E. Sernesi; title: A sampling of vector bundle techniques in the study of linear series / R. Lazarsfeld; title: Moduli of curves and theta-characteristics / M. Cornalba; title: Some algebraic geometrical methods in string theory / L. Dabrowski and C. Reina; title: Lectures on stable curves / F. Bardelli.