Class timings: Tuesday 2:00 - 3:15, Friday 3:30 - 4:45, Lecture Hall 3.
Prerequisites:Chapter 1 of Hartshorne's "Algebraic Geometry"; basics of sheaf theory, coherent sheaves on varieties, operations on coherent sheaves, locally free sheaves, invertible sheaves.
Course outline: The aim of the course is to introduce the Enriques classification of complex projective surfaces.
At appropriate stages during the course, we will cover basics on divisors, differentials, and sheaf cohomology. But this will be done only on a utilitarian basis (in other words, this course is not intended as a proper introduction to these important topics).
(1) Complex Algebraic Surfaces - Arnaud Beauville (2nd edition, London Mathematical Society Student Texts 34)
(2) Notes of Ravi Vakil's course at Stanford (available here.)
(3) Chapters on algebraic surfaces - Miles Reid
(available here.)
Email: krishna [at] cmi [dot] ac [dot] in.
Academic Honesty:
Academic honesty is essential to a successful education. I will expect all
your work to be independent. Some discussion is permitted for homework but
final solutions need to be your own. Any violations will be dealt with
in a strict manner in accordance with CMI policies.