MA4L7 Algebraic curves

The Warwick UG Handbook entry is here.
The 2020-21 module will be taught by Prof. Diane Maclagan.

Notes from 2019 and 2020

The following is a record of the lecture course as I gave it in 2019 and 2020.
The final Part 5 gives an approach to constructing the canonical class K_C and to
the proof of RR that is somewhat novel, and seems simpler and more convincing than
treatments in the current literature.

I have not yet had time to polish this up adequately, and some parts obviously
need more work to bring them up to textbook standard. I hope to return to this at
some future point.

Part 1
Part 2
Part 3
 Castenuovo free pencil trick
 Max Noether's theorem
 Linearly general position
Part 4
Part 5

Worksheets

Example Sheet 1
Example Sheet 2
Example Sheet 3
Example Sheet 4
Example Sheet 5
Jun 2020 exam

Scrap

The first lecture tries to outline in approachable colloquial terms
the idea that the course contents is easy, but built on
sophisticated and sometimes difficult prerequisites from
several areas.

Normal characterises DVRs A brief self-contained treatment of a
key result on nonsingularity.

Here is the old directory containing the 2019 notes and
worksheets and other scrap.