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    Can anybody recommend a good book for an undergraduate Algebraic Geometry course?..

    At the moment, I've been looking at things like the projective space, conics and conic intersections. So ideally, a book with a nice "introduction" to the topic.

    I've been going through Miles Reid's "Undergraduate Algebraic Geometry" but I don't think it's a great book for an undergradate to be honest!
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    I don't know the quality of these notes as I don't study algebraic geometry, but there is a free set of notes online here: http://www.jmilne.org/math/CourseNotes/ag.html They might be worth looking over to see if you like them.

    (I'm using the same guy's algebraic NT notes, and they're pretty good.)
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    I had a look at these and also used his notes for Algebraic Number Theory too, but I feel that these notes on AG are a little advanced and I'm a bit out of my depth when reading them.. =S
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    http://www.math.lsa.umich.edu/~wfulton/

    Excellent book, perhaps a little 'lite' but worth looking at
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    There is a set of notes by Nigel Hitchin on Algebraic Curves available at

    http://www.maths.ox.ac.uk/filemanager/active?fid=20663

    Frances Kirwan's book "Complex Algebraic Curves" covers much the same material.

    Also Karen Smith's book "An Invitation to Algebraic Geometry" is a lovely read, but may be rather advanced for what you're looking for at the moment.
 
 
 
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Updated: January 25, 2010
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