Course Archives Theoretical Statistics and Mathematics Unit | ||
Course: Algebraic Geometry Level: Postgraduate Time: Currently not offered |
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Syllabus Past Exams Syllabus: (Note: For students opting for Algebraic Geometry, a prior knowledge of Commutative Algebra is desirable.) Topics from: Polynomial rings, Hilbert Basis theorem, Noether normalisation lemma, Hilbert Nullstellensatz, Affine and Projective spaces, Affine Schemes, Elementary dimension theory, Smoothness, Curves, Divisors on curves, Bezouts theorem, Abelian differential, Riemann Roch for curves. Suggested Texts : (a) W. Fulton, Algebraic curves. An introduction to algebraic geometry, Addison- Wesley (1989). (b) D.S. Dummit and R.M. Foote, Abstract Algebra (Part V), John Wiley. (c) C.G. Gibson, Elementary Geometry of Algebraic Curves, Cambridge. (d) I.R. Shafarevich, Basic algebraic geometry, Springer. (e) J. Harris, Algebraic geometry. A first course, GTM (133), Springer-Verlag (1995). (f) K. Kendig, Elementary algebraic geometry, GTM (44), Springer-Verlag (1977). (g) D. Mumford, The Red Book of Varieties and Schemes, Springer. (h) C. Musili, Algebraic geometry for beginners, TRIM (20), HBA (2001) Top of the page Past Exams | ||
Midterm
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