401-4142-17L Algebraic Curves
|Semester||Spring Semester 2017|
|Language of instruction||English|
|Abstract||I will discuss the classical theory of algebraic curves. The topics will include:|
divisors, Riemann-Roch, linear systems, differentials, Clifford's theorem,
curves on surfaces, singularities, curves in projective space, elliptic curves,
hyperelliptic curves, families of curves, moduli, and enumerative geometry.
There will be many examples and calculations.
|Content||Lecture homepage: https://metaphor.ethz.ch/x/2017/fs/401-4142-17L/|
|Literature||Forster, "Lectures on Riemann Surfaces"|
Arbarello, Cornalba, Griffiths, Harris, "Geometry of Algebraic Curves"
Mumford, "Curves and their Jacobians"
|Prerequisites / Notice||For background, a semester course in algebraic geometry should be|
sufficient (perhaps even if taken concurrently). You should know the definitions
of algebraic varieties and algebraic morphisms and their basic properties.