Stable cohomology of spaces of non-resultant polynomial systems in ℝ 3

Stable cohomology of spaces of non-resultant polynomial systems in ℝ 3

The stabilization of cohomology rings of spaces of non-resultant homogeneous polynomial systems of growing degree in ℝ 3 is studied. The rational stable cohomology rings are explicitly calculated, and the instant of stabilization is estimated.

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Veröffentlicht in:Doklady. Mathematics 2017-11, Vol.96 (3), p.616-619
1. Verfasser: Vassiliev, V. A.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Polynomials
Rings (mathematics)
Stabilization
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Beschreibung
Zusammenfassung:The stabilization of cohomology rings of spaces of non-resultant homogeneous polynomial systems of growing degree in ℝ 3 is studied. The rational stable cohomology rings are explicitly calculated, and the instant of stabilization is estimated.
ISSN:1064-5624
1531-8362
DOI:10.1134/S106456241706028X