Course Archives Theoretical Statistics and Mathematics Unit

Course: Algebraic Geometry Instructor: Manish Kumar 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 30 marks Home Work / Assignment 20 marks Final Exam 50 marks Total 100 marks Top of the page Past Exams

Midterm 23.pdf 25.pdf Semestral 23.pdf Supplementary and Back Paper 23.pdf Top of the page

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