Elementary Structure of Real Algebraic Varieties

Hassler Whitney · Birkhäuser Boston eBooks · 1992

A real (or complex) algebraic variety V is a point set in real n -space R n (or complex n -space C n ) which is the set of common zeros of a set of polynomials. The general properties of a real V as a point set have not been the subject of much study recently (but see for instance [2], [3] and [4]); attention has turned more to the complex case, the complex projective case, and especially the abstract algebraic theory. Facts about the real case are sometimes needed in the applications; proofs are commonly very difficult to locate. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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