Course Archives Theoretical Statistics and Mathematics Unit
Course: Algebraic Geometry
Level: Postgraduate
Time: Currently not offered
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).

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Past Exams
Midterm
07.pdf 11.pdf 15.pdf
Semestral
15.pdf
Supplementary and Back Paper
15.pdf

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