Course Archives Theoretical Statistics and Mathematics Unit | ||||||||

Course: Algebraic Geometry Instructor: Pratyusha Chattopadhyay Room: G25 Level: Postgraduate Time: Currently offered |
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Syllabus Past Exams Syllabus: 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, Bezout's theorem, Abelian differential, Riemann Roch
for curves.
Suggested Texts : 1. W. Fulton, Algebraic curves. An introduction to algebraic geometry, Addison- Wesley (1989). 2. D.S. Dummit and R.M. Foote, Abstract Algebra (Part V), John Wiley (Asian reprint 2003). 3. C.G. Gibson, Elementary Geometry of Algebraic Curves, Cambridge (1999). 4. I.R. Shafarevich, Basic algebraic geometry, Springer (1994). 5. J. Harris, Algebraic geometry. A rst course, GTM (133), Springer-Verlag (1995). 6. K. Kendig, Elementary algebraic geometry, GTM (44), Springer-Verlag (1977). 7. D. Mumford, The Red Book of Varieties and Schemes, Springer (1999). 8. C. Musili, Algebraic geometry for beginners, TRIM (20), HBA (2001). Evaluation:
Past Exams
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Midterm
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