MA4L7 Algebraic curves

The Warwick UG Handbook entry is here. I will teach the 2021-22 module
in Term 2. The material and the exam questions may differ from those of
the module taught in Term 1 last year by Prof. Diane Maclagan.

Notes from lectures

The plain text notes from the introductory Lecture 1 are available.
(The Jan 2020 introductory lecture gives a different introductory view
of the subject). The videos of the first 2 weeks of lectures are on
my DropBox. From Thu 27th Jan at 9:00 am the lectures will be live
in B3.02. The Lecture Capture will be on Moodle/Echo (or
somewhere) after the lecture finishes (but not livestreamed).

Notes from 2020

The following is a record of the lecture course as I gave it in 2020. The final
Part 5 is a somewhat novel approach to constructing the canonical class K_C
to complete the proof of RR that 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


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


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.