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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.

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    $\begingroup$ A nice introductory book (maybe a bit dry) is Fulton's Algebraic Curves, available free from the author's website. 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. $\endgroup$ – Hoot Aug 24 '15 at 23:19
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    $\begingroup$ Shafarevich, Basic Algebraic Geometry; Reid, Undergraduate Algebraic Geometry. $\endgroup$ – Schemer Aug 25 '15 at 8:52
  • $\begingroup$ Thanks for your suggestions! $\endgroup$ – user255368 Aug 29 '15 at 1:56
  • $\begingroup$ Have a look at the answers to the following closely related MSE question. $\endgroup$ – Jose Arnaldo Bebita-Dris Sep 21 '15 at 11:10
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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

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  • $\begingroup$ Thanks for your suggestion, I will look at the book! $\endgroup$ – user255368 Aug 29 '15 at 1:56
  • $\begingroup$ Not at all, it's a pleasure! :) $\endgroup$ – Armando j18eos Aug 29 '15 at 11:59
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You might like to take a look at Joe Harris: Algebraic Geometry.

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