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Category:Algebraic geometry

Algebraic geometry is a branch of mathematics which, as the name suggests, combines abstract algebra, especially commutative algebra, with geometry. It can be seen as the study of solution sets of systems of algebraic equations. When there is more than one variable, geometric considerations enter, and are important to understand the phenomenon. One can say that the subject starts where equation solving leaves off, and it becomes at least as important to understand the totality of solutions of a system of equations as to find some solution; this does lead into some of the deepest waters in the whole of mathematics, both conceptually and in terms of technique.


Subcategories

There are 9 subcategories to this category.
  • Algebraic curves
  • Algebraic groups
  • Algebraic surfaces
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    Articles in category "Algebraic geometry"

    There are 94 articles in this category.
  • Algebraic geometry
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    11-30-2008 18:11:33
    The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details
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