Algebraic and Analytic Geometry of Fans

Released on by Carlos Andradas
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  • Algebraic and Analytic Geometry of Fans Book Detail

  • Author : Carlos Andradas
  • Release Date : 1995
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 130
  • ISBN 13 : 0821826123
  • File Size : 50,50 MB
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Algebraic and Analytic Geometry of Fans by Carlos Andradas PDF Summary

Book Description: A set which can be defined by systems of polynomial inequalities is called semialgebraic. When such a description is possible locally around every point, by means of analytic inequalities varying with the point, the set is called semianalytic. If one single system of strict inequalities is enough, either globally or locally at every point, the set is called basic. The topic of this work is the relationship between these two notions. Namely, Andradas and Ruiz describe and characterize, both algebraically and geometrically, the obstructions for a basic semianalytic set to be basic semialgebraic. Then they describe a special family of obstructions that suffices to recognize whether or not a basic semianalytic set is basic semialgebraic. Finally, they use the preceding results to discuss the effect on basicness of birational transformations.

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Algebraic and Analytic Geometry of Fans

Algebraic and Analytic Geometry of Fans

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A set which can be defined by systems of polynomial inequalities is called semialgebraic. When such a description is possible locally around every point, by mea