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Course Archives Theoretical Statistics and Mathematics Unit |
Course: Algebraic Geometry
Instructor: Ramesh Sreekantan
Room: G23
Level: Undergraduate
Time: Currently offered
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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:
| Mid-term | 30 marks |
Assignment | 20 marks |
Final Exam | 50 marks |
Total | 100 marks |
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Past Exams
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[ Semester Schedule ][ Statmath Unit ]
[Indian Statistical Institute] |