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On the irreducible components of globally defined semianalytic sets.



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Fernando Galván, José Francisco (2016) On the irreducible components of globally defined semianalytic sets. Mathematische Zeitschrift, 283 (3-4). pp. 1071-1109. ISSN 0025-5874

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Official URL: http://link.springer.com/article/10.1007%2Fs00209-016-1634-9



t In this work we present the concept of amenable C-semianalytic subset of a real analytic manifold M and study the main properties of this type of sets. Amenable C-semianalytic sets can be understood as globally defined semianalytic sets with a neat behavior with respect to Zariski closure. This fact allows us to develop a natural definition of irreducibility and the corresponding theory of irreducible components for amenable Csemianalytic sets. These concepts generalize the parallel ones for: complex algebraic and analytic sets, C-analytic sets, Nash sets and semialgebraic sets.

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Dedicated to Prof. C. Andradas in occasion of his 60th birthday.

Uncontrolled Keywords:C-analytic and C-semianalytic sets; Amenable C-semianalytic sets;Zariski closure · Irreducibility; Irreducible components; Analytic normalization.
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:36555
Deposited On:04 Apr 2016 07:46
Last Modified:07 Sep 2016 08:27

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