Logo

Lectures notes on compact Riemann surfaces

Small book cover: Lectures notes on compact Riemann surfaces

Lectures notes on compact Riemann surfaces
by

Publisher: arXiv.org
Number of pages: 119

Description:
This is an introduction to the geometry of compact Riemann surfaces. Contents: Riemann surfaces; Functions and forms on Riemann surfaces; Abel map, Jacobian and Theta function; Riemann-Roch; Moduli spaces; Eigenvector bundles and solutions of Lax equations.

Home page url

Download or read it online for free here:
Download link
(2.2MB, PDF)

Similar books

Book cover: Complex Analysis on Riemann SurfacesComplex Analysis on Riemann Surfaces
by - Harvard University
Contents: Maps between Riemann surfaces; Sheaves and analytic continuation; Algebraic functions; Holomorphic and harmonic forms; Cohomology of sheaves; Cohomology on a Riemann surface; Riemann-Roch; Serre duality; Maps to projective space; etc.
(10354 views)
Book cover: Riemann Surfaces, Dynamics and GeometryRiemann Surfaces, Dynamics and Geometry
by - Harvard University
This course will concern the interaction between: hyperbolic geometry in dimensions 2 and 3, the dynamics of iterated rational maps, and the theory of Riemann surfaces and their deformations. Intended for advanced graduate students.
(10519 views)
Book cover: Semi-Riemann Geometry and General RelativitySemi-Riemann Geometry and General Relativity
by
Course notes for an introduction to Riemannian geometry and its principal physical application, Einstein’s theory of general relativity. The background assumed is a good grounding in linear algebra and in advanced calculus.
(14017 views)
Book cover: Riemannian Geometry: Definitions, Pictures, and ResultsRiemannian Geometry: Definitions, Pictures, and Results
by - arXiv
A pedagogical but concise overview of Riemannian geometry is provided in the context of usage in physics. The emphasis is on defining and visualizing concepts and relationships between them, as well as listing common confusions and relevant theorems.
(3025 views)