4Course Archives: Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore
Course Archives Theoretical Statistics and Mathematics Unit
Course: Algebraic Geometry
Level: Undergraduate
Time: Currently not offered
Syllabus
Past Exams

Syllabus:

Hilbert Basis Theorem, Hilbert Nullstellensatz, Affine algebraic sets and varieties and morphisms, affine coordinate rings, regular functions, Projective space, Projective varieties and morphisms, quasi projective varieties, sheaf of regular functions, rational functions, rational maps, function fields, nonsingular varieties, algebraic curves, Bezouts theorem, Riemann Roch theorem (if time permits)

Reference Texts:

(a) Hartshorne: Algebraic Geometry (Chapter 1).
(b) Fulton: Algebraic Curves.
(c) Shafarevich: Algebraic Geometry Volume I.
(d) Reid: Undergraduate Algebraic Geometry.
(e) Mumford: Red Book of Varieties and Schemes (Chapter 1).
(f) Kirwan: Complex Algebraic Curves.
(g) Harris: Algebraic Geometry.

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Past Exams
Midterm
24.pdf
Semestral
24.pdf
Supplementary and Back Paper

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