The initial course description is
here.
Lecture timetable
Timetable
Mon 13:00 B3.03 from Mon 9th Jan 2023
Thu 13:00 in D1.07 except Week 5 Thu 9th Feb in B1.01
Fri 11:00 B3.02
The lectures are broadcast on my Zoom account
Meeting ID: 857 140 6186
Password: 3MfD6v
Plan of lectures and partial lecture notes
The material is organised (if that is the right word)
as a
series of Topics, each thought of as around one
week's worth of lectures. Informal lecture notes are
available for some of the material.
Week 1 What is a variety?
What is a quotient V/G of a variety by a group action? The main
references for V/G are
Mumford, Abelian varieties, Chap. 2,
Section 7, pp. 65-6
and my two Chapters
Cyclic
and
Du Val
Week 1
Week 2
What is a scheme? How to define the structure sheaf of Spec R?
Proj R as the GGm quotient of Spec R \ V(m). The quasismooth
condition and cyclic orbifold points. The main references
are Hartshorne Chapter 2, Prop 2.2 for OX, and for Proj, my notes
on
Graded rings
and Hartshorne, Chapter 2, Section 7.
Week 2
Week 3 Cartier divisors and intersectdion numbers
My main reference for Cartier divisors is Mumford's book
Lectures on Curves on a Surface, Chap. 9. Intersection numbers
of curves on a surface are treated in Chap A of my Park City
book.
Week 3