Title :

Real map germs and higher open books

Author(s) :

Araújo dos Santos, Raimundo [Auteur]
Tibăr, Mihai [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Geom. Dedicata

Pages :

177-185

Publication date :

2010

HAL domain(s) :

Mathématiques [math]/Géométrie algébrique [math.AG]
Mathématiques [math]/Variables complexes [math.CV]

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Singularités réelles

Comment :

12 pages, originally sent to London Math Soc on Dec. 7, 2007. Published without Section 5 in Geom. Dedicata (2010), 147:177-185.

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL