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- W1878167580 abstract "We give in this article a natural method that we call {it la m'ethode des fa{c c}ons} to stratify the asymptotic variety associated to a polynomial map. The obtained stratification is a semi-algebraic, differentiable stratification and is a Thom-Mather stratification. By this method, we give also an algorithm to characterize the asymptotic variety of dominant polynomial mappings $F: mathbb{C}^n to mathbb{C}^n$ of degree $d$. We apply this method to compute the intersection homology of the Valette set. This is a real pseudo-variety $V_F$, associated to a polynomial mapping $F: mathbb{C}^n to mathbb{C}^n$, constructed by Anna and Guillaume Valette in 2010. The character of the property of mapping $F$ is characterized by the cancellation of the intersection homology of $V_F$." @default.
- W1878167580 created "2016-06-24" @default.
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- W1878167580 date "2014-07-20" @default.
- W1878167580 modified "2023-09-27" @default.
- W1878167580 title "La m'ethode des fac{c}ons - Une nouvelle m'ethode pour stratifier et caract'eriser la vari'et'e asymptotique associ'ee `a une application polynomiale" @default.
- W1878167580 hasPublicationYear "2014" @default.
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