Real Algebraic and Analytic Geometry

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49. Hélène Pennaneac'h:
Virtual and non virtual algebraic Betti numbers.


Submission: 2003, April 16.

This note defines virtual Betti numbers constructed from algebraically constructible homology, after the work of McCrory and Parusinski. These numbers are not always surely defined because we do not know in general whether the dimension of the algebraically constructible homology is finite, but the paper contains some results in this direction.

Mathematics Subject Classification (2000): 14P05.

Keywords and Phrases: Betti numbers, algebraically constructible.

Full text, 7p.: dvi 29k, ps.gz 112k, pdf 135k.

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