High Quality Content by WIKIPEDIA articles! Algebraic geometry is a
branch of mathematics which combines techniques of abstract
algebra, especially commutative algebra, with the language and the
problems of geometry. It occupies a central place in modern
mathematics and has multiple conceptual connections with such
diverse fields as complex analysis, topology and number theory.
Initially a study of polynomial equations in many variables, the
subject of algebraic geometry 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 leads into some of the deepest waters in the whole
of mathematics, both conceptually and in terms of technique.
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