1

I don't know where to ask this or if it is allowed to do it, so please let me know any details for further questions of this kind.

I am taking an algebraic geometry class and am using the textbook "Ideals, Varieties, and algorithms" by David Cox et. al. I was wondering if any of you had any suggested textbooks to use as complementary textbooks for this book or books that help get a deeper understanding of the basic algebraic geometry material.

Martin Sleziak
  • 51,859
  • 20
  • 181
  • 357
  • 1
    A nice introductory book (maybe a bit dry) is Fulton's _Algebraic Curves_, available free from the [author's website](http://www.math.lsa.umich.edu/~wfulton/CurveBook.pdf). I do think the computational stuff in the book you mention is pretty unique, though. The only book with a similar emphasis that I can think of is Schenck's _Computational Algebraic Geometry_. I think that's a bit more advanced, though. – Hoot Aug 24 '15 at 23:19
  • 1
    Shafarevich, _Basic Algebraic Geometry_; Reid, _Undergraduate Algebraic Geometry_. – Schemer Aug 25 '15 at 08:52
  • Thanks for your suggestions! –  Aug 29 '15 at 01:56
  • Have a look at the answers to the following [closely related MSE question](http://math.stackexchange.com/questions/1748). – Jose Arnaldo Bebita Sep 21 '15 at 11:10

2 Answers2

0

I don't know the contents of Cox et al.'s book;

but a good basic introduction to algebraic geometry is Klaus Hulek - Elementary Algebraic Geometry, and if it can be useful for you: David S. Dummit & Richard M. Foote - Abstract Algebra, here you can find a little introduction to Groebner basis and other interesting material. ;)

P.S.: "Et" is a Latin word, the translation in Englis is "and"; it needs not of final point. ;D

Armando j18eos
  • 3,759
  • 4
  • 25
  • 42
0

You might like to take a look at Joe Harris: Algebraic Geometry.

Martin Peters
  • 707
  • 3
  • 5