Topics in Algebraic Surfaces II, FALL 2019

Class timings: Tuesday, Wednesday 9:10 - 10:25, Lecture Hall 2.

This course is a continuation last semester's course.



Course outline: We will continue from where we stopped last semester. Topics to be covered include:

1) Seshadri constants: basic definitions, properties, important theorems, current problems.
2) Nagata and SHGH Conjectures.
3) Bounded Negativity Conjecture.
4) Other topics as time permits.

Midterm Exam


Textbook/sources:

1) Positivity in Algebraic Geometry I - R. Lazarsfeld
2) Global aspects of the geometry of surfaces - B. Harbourne (available here)
3) A primer on Seshadri constants - T. Bauer et al (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.