Real Algebraic and Analytic Geometry

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255. Iwona Karolkiewicz, Aleksandra Nowel, Zbigniew Szafraniec:
An algebraic formula for the intersection number of a polynomial immersion.

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Submission: 2008, July 11.

Abstract:
There is presented an algorithm for computing the topological degree for a large class of polynomial mappings. As an application there is given an effective algebraic formula for the intersection number of a polynomial immersion M --> R^{2m}, where M is an m-dimensional algebraic manifold.

Keywords and Phrases: polynomial immersion, intersection number, local topological degree.

Full text, 17p.: dvi 80k, ps.gz 165k, pdf 207k.


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