Course Archives Theoretical Statistics and Mathematics Unit
Course: Algebraic Geometry
Instructor: Jishnu Biswas
Room: G23
Level: Postgraduate
Time: Currently offered
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)

Evaluation:
Midterm Exam 50 marks
Home Work / Assignment marks
Final Exam 50 marks
Total 100 marks

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