Homology groups of spaces of non-resultant quadratic polynomial systems in ${\mathbb R}^3$
Izvestiya. Mathematics , Tome 80 (2016) no. 4, pp. 791-810

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We calculate the rational homology groups of spaces of non-resultant (that is, having no non-trivial common zeros) systems of homogeneous quadratic polynomials in $\mathbb R^3$.
Keywords: resultant, cohomology, simplicial resolution
Mots-clés : configuration space.
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     author = {V. A. Vassiliev},
     title = {Homology groups of spaces of non-resultant quadratic polynomial systems in ${\mathbb R}^3$},
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V. A. Vassiliev. Homology groups of spaces of non-resultant quadratic polynomial systems in ${\mathbb R}^3$. Izvestiya. Mathematics , Tome 80 (2016) no. 4, pp. 791-810. http://geodesic.mathdoc.fr/item/IM2_2016_80_4_a8/