MA940 FAC

[FAC] Jean-Pierre Serre, Faisceaux algébriques cohérents,
Annals of Mathematics (2) 61:2 (1955) 197-278.
There is an English translation here:
     https://achinger.impan.pl/fac/fac.pdf
For other references, see below

Provisional timetable for 2021:

Mon 16:00, Thu 12:00, Fri 10:00 on Teams (email me to join)

The Warwick Math Course description webpage

Chapter B from Park City lectures.

Videos of past lectures:

Lecture 1   Mon 11th Jan 2021
Lecture 2   Wed 13th
Lecture 3   Fri 15th
Lecture 4   Mon 18th
Lecture 5   Thu 21th
Lecture 6   Fri 22nd
Lecture 7   Mon 25th
Lecture 8   Thu 28th
Lecture 9   Fri 29th
Lecture 10   Mon 1st Feb
Lecture 11   Thu 4th
Lecture 12   Fri 5th
Lecture 13   Mon 8th
Lecture 14   Thu 11th
Lecture 15   Fri 12th
Lecture 16   Mon 15th
Lecture 17   Thu 18th
Lecture 18   Fri 19th
Lecture 19   Mon 22nd
Lecture 20   Thu 25th
Lecture 21   Fri 26th
Lecture 22   Mon 1st Mar
Lecture 23   Thu 4th
Lecture 24   Fri 5th
Lecture 25   Mon 8th
Lecture 26   Thu 11th
Lecture 27   Fri 12th
Lecture 28   Mon 15th
Lecture 29   Thu 18th
Lecture 30   Fri 19th

References


J.-P. Serre, Faisceaux algébriques cohérents, Ann. of Math. 61 (1955)
A. Borel and J.-P. Serre, Le théorème de Riemann-Roch, Bull. Soc. Math. France 86 (1958) 97--136
I.R. Shafarevich, Basic algebraic geometry I, Springer, 1994
R. Hartshorne, Algebraic geometry, Springer Graduate Texts, 1977
H. Matsumura, Commutative ring theory, CUP

Exercise sheets:

Please also look through the exercise sections in Hartshorne Chap. II.
Ex Sheet 1 (tentative)

Injective modules:

Existence of injective embeddings

The lectures and support classes will happen on Teams.
I will also communicate by email to a mailing list that currently consists of

Diane, Gavin, Chunyi, Damiano, Alessio B, Wei, Patience, Xenia, Jesús,
Vantana, Ben, Julie, Sunny, David TP, Abdulmuhsin, Matteo, Shengxuan,
Muhammad, Ed, Steven, Jiazhi, Robin,
Timothy, Qianyi Rory, Erroxe, Flora, Harkaran, Calla, Marina, Guglielmo,
Thomas H, Soham, Simen, Julian, Nina, Hazem, Samuel, Yu, Oscar, Oliver,
Tiago, Kacper, Thomas, Sohail, Irene, Younghan, Girtrude, Chen, Rahul,
Wanlong, Gabriel, João, Eleanore, Andrzej, Harry, Rob, Kamyar, Shousen,
Yuan, Rhys, Soheyla, Charlotte, Felix, Christopher, Francesco V, Jeonghoon,
Marta, Geoffrey, Mohammad, Francesco T, Sara, Stefano M, James, Ana,
Wojciech, Hannah, Maziar, Lorenzo, Gargi, Francesco D, Enrico, David A,
Alberto, Flavio, Nick, Dario, Alessandro, Stefano S, Clara, Anna,
Eduardo, Arsen, Mihai-C, Carlo, Shivang, Annalisa, Sokratis, Joseph,
Esteban, Cécile, Lukas, Celia, Maciej, Pascale, Ilia, Marcin, Himal,
Arijit, Theodoros, Simon, Raffaele, Rodolfo, Calle, Abhiram, Piotr O,
Piotr R, Filip, Joachim, Marwan, Diptajit, Kaan, Will, Öznur, Wayne,
Michał, Erik, Mingyang, Jonte, Johannes, Aimeric, Jarosław, Tomasz M,
Dominik, Alvaro, Luqiao, Majid, Geoffrey J, Lucas, Nivedita, Ricardo,
Andrés, Tomasz W, Xinle Clair, Andrew, Bastien, Adan, Himanshu,

Please let me know if you want to be added to or removed from the Team.