MTH426: An introduction to algebraic curves.
MTH426: An introduction to algebraic curves.
- Mandatory: All students (crediting or auditing) must fill this form (on or before 2019-08-29): https://forms.gle/TbPfAbfuRhu2LmWD8
- The course is ongoing and the website will be updated accordingly.
Notes.
Notes.
- Module 1 (last updated 2019-09-30)
- DVRs (posted on 2019-09-09).
- Quasi Projective varieties (posted on 2019-11-20).
- Edited on 2019-11-26 : part in Corollary 1.23 which was missed due to error (and was obvious given the previous Lemma) has now been added.
Exercises.
Exercises.
- 2019-08-16 (Friday). (Not to be submitted, updated on 2019-08-23).
- Errata to original sheet: (Problem 11 : k should be finite for second part.)
- 2019-08-23 (Friday). (Not to be submitted, uploaded on 2019-08-24).
- Errata to original sheet: (Problem 1(2) corrected).
- 2019-09-09 (Monday). (To be submitted by 2019-09-17).
- Errata to original sheet: (Problem 2 and 6 corrected),
References.
References.
(Primary text) Fulton, W., Algebraic curves: An introduction to algebraic geometry. (Web Version).
(Primary commutative algebra text) Atiyah, M. F. and I. G. Macdonald, Introduction to commutative algebra.
A more advanced reader may be interested in the following texts:
Shafarevich, I. R., Basic algebraic geometry (Vol. 1-2).
Hartshorne, R., Algebraic geometry.
Mumford, D., The red book of varieties and schemes.
(Commutative Algebra):
Eisenbud, D., Commutative Algebra: with a view toward algebraic geometry.
(There are several scanned versions that are available on the web as suggested by a quick google search. Some of these must also be available in the institute library. Ask me if you cannot find one).