Real Algebraic and Analytic Geometry

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53. Carlos Andradas, Antonio Díaz-Cano:
Some properties of global semianalytic subsets of coherent surfaces.

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Submission: 2003, May 12.

Let $X \subset \R^n$ be a coherent analytic surface. We see that the connected components of a global analytic subsets of $X$ are global and compute the stability index and the Bröcker's $t$-invariant of $X$. Finally, we state a real nullstellensatz for normal surfaces.

Mathematics Subject Classification (2000): 14P15, 32B15, 32B20.

Keywords and Phrases: Coherent surfaces, real analytic sets, analytic functions, maximal ideals.

Full text, 19p.: dvi 105k, ps.gz 179k, pdf 240k.

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