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Algebraic Geometry Notes
2002-03
This is a first year course in algebraic geometry.
It is pre-Hartshorne, a cross between Mumford's Red Book (minus schemes),
Shafarevich's Basic Algebraic Geometry, and (eventually) Serre's FAC.
My feeling is that by focusing on complex (quasi)-projective varieties,
I am able to more clearly point out the relationship between
commutative algebra and the geometry of varieties.
Obviously, it would make better "Bourbaki" sense to start with
Grothendieck's theory of schemes from the beginning, but
it has been my experience that this approach
(even in Mumford's Red Book) overwhelms all but the
very best graduate students and results in an unsatisfying
first-year course.
I. Homage to Hilbert
II. Introducing Varieties
III. Basic Properties of Varieties
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Last modified on Thursday, 30-Jan-2003 11:14:00 MST
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