Virtual Poincaré polynomial of the link of a real algebraic variety

Goulwen Fichou (1) , Masahiro Shiota (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 Graduate School of Mathematics [Nagoya]

The Euler characteristic of the link of a real algebraic variety is an interesting topological invariant in order to discuss local topological properties. We prove in the paper that an invariant stronger than the Euler Characteristic is well defined for the link of an algebraic variety: its virtual Poincaré polynomial.

Mots clés: real algebraic variety; link; virtual Poincaré polynomial

Domaines: Géométrie algébrique [math.AG]

Goulwen Fichou, Masahiro Shiota. Virtual Poincaré polynomial of the link of a real algebraic variety. Mathematische Zeitschrift, 2013, 273 (3-4), pp.1053-1061. ⟨10.1007/s00209-012-1043-7⟩. ⟨hal-00656043v2⟩