Real map germs and higher open books

Raimundo Araújo dos Santos , Mihai Tibăr (1)

1 LPP - Laboratoire Paul Painlevé - UMR 8524

We present a general criterion for the existence of open book structures defined by real map germs $(\bR^m, 0) \to (\bR^p, 0)$, where $m> p \ge 2$, with isolated critical point. We show that this is satisfied by weighted-homogeneous maps. We also derive sufficient conditions in case of map germs with isolated critical value.

Domaines: Géométrie algébrique [math.AG]; Variables complexes [math.CV]

Raimundo Araújo dos Santos, Mihai Tibăr. Real map germs and higher open books. Geom. Dedicata, 2010, 147, pp.177-185. ⟨10.1007/s10711-009-9449-z⟩. ⟨hal-00530119⟩