Toric Geometry

Notices:

1st July: LAST EXERCISE SESSION TO BE REARRANGED! Sorry for that, I didn't realise people didn't recieve the Mampf/Müsli emails (this system really is a pain to use). If you are interested in attending, please send me an email so I can email you directly in future! Will be in touch about a rearranged exercise class.

I will also be away for the last few lectures of the course. Qaasim will give some "bonus lectures" on other cool toric related topics. These will be non-examinable, just for fun. 

The associated examples classes, also given by Qaasim, will contain a course content review and help with exam style questions. More details to follow.

Lecture notes: 

Intro & Definitions: Lecture 1, Question Sheet 1 (Question sheet slightly updated from lecture notes)

The Fan construction: Lecture 2, Question Sheet 2

Properties of TVs and the Polytope construction: Lecture 3, Question Sheet 3

Toric morphisms: Lecture 4 (Covered by Qaasim)

Resolution of singularities and the Orbit-Cone correspondence: Lecture 5, Question Sheet 4

Weil Divisors & the class group: Lecture 6, Question Sheet 5 

Cartier divisors and PL functions: Lecture 7, Question Sheet 6 (Updated question 1 to fix typos!)

Line bundles on TVs: Lecture 8, Question Sheet 7

Non-Projective proper TVs, Logarithmic Geometry, motivation and definitions: Lecture 9, Question Sheet 8

Properties of Log schemes/morphisms: Lecture 10, Question Sheet 9

Tropicalisation: Lecture 11, Question Sheet 10 

Artin fans: Lecture 12

Further topics, lectured by Qaasim Shafi:

The Cox ring and quotients: Lecture 13

The topology of toric varieties: Lecture 14