Usually means: Study of shapes via polynomials.
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We found 9 dictionaries that define the word algebraic geometry:

General (6 matching dictionaries)
  1. algebraic geometry: Merriam-Webster
  2. algebraic geometry: Wiktionary
  3. algebraic geometry: Infoplease Dictionary
  4. algebraic geometry: Dictionary.com
  5. Algebraic Geometry (book), Algebraic Geometry, Algebraic geometry: Wikipedia, the Free Encyclopedia
  6. algebraic geometry: Merriam-Webster

Computing (1 matching dictionary)
  1. algebraic geometry: Encyclopedia

Science (2 matching dictionaries)
  1. Algebraic Geometry: Eric Weisstein's World of Mathematics
  2. algebraic geometry, algebraic geometry: PlanetMath Encyclopedia

Definitions from Wiktionary (algebraic geometry)

noun:  (mathematics) A branch of mathematics that studies algebraic varieties (solution sets of polynomial equations) and their generalisations, using techniques from both algebra (chiefly commutative algebra) and geometry.

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