Course Archives Theoretical Statistics and Mathematics Unit 
Course: Algebraic Geometry
Instructor: Ramesh Sreekantan
Room: G23
Level: Undergraduate
Time: Currently offered

Syllabus
Past Exams
Syllabus:
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.
Evaluation:
Midterm  30 marks 
Assignment  20 marks 
Final Exam  50 marks 
Total  100 marks 
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Past Exams

Midterm
Semestral
Supplementary and Back Paper
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[ Semester Schedule ][ Statmath Unit ]
[Indian Statistical Institute] 