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Instructor: Chitrabhanu Chaudhuri (office M-227, email: chitrabhanu [at] niser [dot] ac [dot] in) |
Texts:
- J.S. Milne, "Algebraic Geometry Course Notes".
- R. Hartshorne, “Algebraic Geometry”, Graduate Texts in Mathematics 52, Springer-Verlag, 1977.
- M. Reid, “Undergraduate Algebraic Geometry”, London Mathematical Society Student Texts 12, Cambridge University Press, 1988.
References:
- M. F. Atiyah, I. G. Macdonald, “Introduction to Commutative Algebra”, AddisonWesley Publishing Co., 1969.
- James S. Milne, "A Primer of Commutative Algebra".
- C. Musili, "Algebraic Geometry for Beginners". TRIM, Hindustan Book Agency.
- W. Fulton, "Algebraic Curves: An Introduction to Algebraic Geometry".
Course Resources folder will contain lecture notes and problem sets. Please book mark this folder.
Problem Sets: There will be weekly problem sets.
Exams: There will be two take home exams worth 15 points each, one midsem worth 30 points and one final exam worth 40 points.
Topics Covered:
- Week 1 ( 2- 6 Jan): Algebraic Sets, Zariski Topology and Hilbert Nullstellensatz.
- Week 2 ( 9-13 Jan): Dimension of Algebraic Sets.
- Week 3 (16-20 Jan): Sheaf of regular functions and Affine Varieties.
- Week 4 (23-27 Jan): Morphisms of Affine varieties.
- Week 5 (30 Jan-3 Feb): Varieties.
- Week 6 ( 6-10 Feb): Projective Algebraic Sets.
- Week 7 (14-18 Feb): Projective varieties.
- Week 8 ( 6-10 Mar): Projective Varieties continued.
- Week 9 (13-17 Mar): Grassmanians.
- Week 10(20-24 Mar):
- Week 11(27-31 Mar):
- Week 12( 3- 7 Apr):
- Week 13(10-14 Apr):
- Week 14(17-21 Apr):