Real map germs and higher open books

Details Real map germs and higher open books Real map germs and higher open books

2008-01-22

arxiv.org/abs/0801.3328v1

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

Mathematics

Algebraic Geometry

12 pages

Scientific paper

10.1007/s10711-009-9449-z

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.

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