Toric Geometry

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

Logarithmic Geometry, motivation and definitions: Lecture 9

Properties of Log schemes/morphisms: Lecture 10

Tropicalisation: Lecture 11

Artin fans: Lecture 12

Further topics:

The Cox ring and quotients: Lecture 13

The topology of toric varieties: Lecture 14