Topics in Algebraic Geometry

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When and where

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

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Teachers

Bas Edixhoven, David Holmes

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USIS codes

For 6EC: Studieactiviteit 20071 4373TOALG

For 3EC: Studieactiviteit 20072 4373TOAL3

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Grading

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

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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

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Schedule of lectures

Based on Liu's book `Algebraic Geometry and Arithmetic Curves'.

Topic	Speaker	Date	Notes
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	Notes
8.3, fibred surfaces	Bas Edixhoven	7 March
9.1, intersection theory on regular surface	Stevan Gajovic	21 March
9.2, intersection and morphisms	Daan Becker	28 March
No seminar - NMC		4 April
9.3, minimal surfaces	Sebastiano Tronto	11 April
9.4, Contractions and canonical models	Enis Kaya	18 April	Notes
10.1, models of algebraic curves	Ju-Feng Wu	25 April	Notes
10.2, reduction of elliptic curves	Simon Stojkovic	2 May
10.3, stable reduction	Sergej Monavari	9 May
10.4, Artin-Winters		16 May