Topics in Algebraic Geometry


When and where

Wednesdays, 15:30-17:15, room 408. First lecture 7 Feb. Last lecture to be decided.

Teachers

Bas Edixhoven, David Holmes

USIS codes

For 6EC: Studieactiviteit 20071 4373TOALG

For 3EC: Studieactiviteit 20072 4373TOAL3


Grading

Pass/fail only. 3EC/lecture given. Presence at and active participation in (almost) all lectures and problem sessions is also expected.

Format of lectures

2x30 minute lecture. 1x25 minute problem session (to allow 2x10 minute breaks). Speaker will present their solution to chosen exercises of Liu; class will discuss


Schedule of lectures

Based on Liu's book `Algebraic Geometry and Arithmetic Curves'.
Topic Speaker DateNotes
4.3, flat and smooth morphisms David Holmes 7 Feb
6.1 en 6.2, kahler differentials and application to smooth morphisms Marc-Paul Noordman 14 Feb
6.3 en 6.4, lci morphisms and duality theory Jeroen van der Meer 21 Feb Notes
7.1,2,3: Weil and Cartier divisors, Riemann Roch Ju-Feng Wu 28 Feb
8.3, fibred surfaces 7 March
9.1, intersection theory on regular surface Stevan Gajovic 14 March
9.2, intersection and morphisms
9.3, minimal surfaces Sebastiano Tronto
9.4, Contractions and canonical models Enis Kaya
10.1, models of algebraic curves Ju-Feng Wu
10.2, reduction of elliptic curves Simon Stojkovic
10.3, stable reduction Sergej Monavari
10.4, Artin-Winters