4Course Archives: Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore
Course Archives Theoretical Statistics and Mathematics Unit
Course: Algebraic Geometry
Instructor: Ramesh Sreekantan
Room: G23
Level: Undergraduate
Time: Currently offered
Past Exams


Hilbert Basis Theorem, Hilbert Nullstellensatz, Affine algebraic sets and varieties and morphisms, affine coordinate rings, regular functions, Projective space, Projective varieties and morphisms, quasi projective varieties, sheaf of regular functions, rational functions, rational maps, function fields, nonsingular varieties, algebraic curves, Bezouts theorem, Riemann Roch theorem (if time permits)

Reference Texts:

(a) Hartshorne: Algebraic Geometry (Chapter 1).
(b) Fulton: Algebraic Curves.
(c) Shafarevich: Algebraic Geometry Volume I.
(d) Reid: Undergraduate Algebraic Geometry.
(e) Mumford: Red Book of Varieties and Schemes (Chapter 1).
(f) Kirwan: Complex Algebraic Curves.
(g) Harris: Algebraic Geometry.

Mid-term 30 marks
Assignment 20 marks
Final Exam 50 marks
Total 100 marks

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Past Exams
Supplementary and Back Paper

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