RT Journal Article
T1 Decomposition in bunches of the critical locus of a quasi-ordinary map
A1 González Pérez, Pedro Daniel
A1 García Barroso, Evelia Rosa
AB A polar hypersurface P of a complex analytic hypersurface germ f = 0 can be investigated by analyzing the invariance of certain Newton polyhedra associated with the image of P, with respect to suitable coordinates, by certain morphisms appropriately associated with f. We develop this general principle of Teissier when f = 0 is a quasi-ordinary hypersurface germ and P is the polar hypersurface associated with any quasi-ordinary projection of f = 0. We show a decomposition of P into bunches of branches which characterizes the embedded topological types of the irreducible components of f = 0. This decomposition is also characterized by some properties of the strict transform of P by the toric embedded resolution of 0 given by the second author. In the plane curve case this result provides a simple algebraic proof of a theorem of Le et al.
PB Cambridge University Press
SN 1570-5846
YR 2005
FD 2005-03
LK https://hdl.handle.net/20.500.14352/49658
UL https://hdl.handle.net/20.500.14352/49658
LA eng
NO Acción integrada hispano-francesa
NO Programme d’actions intégrées franco-espagnol
NO Marie Curie Fellowship of the European Community program ‘Improving Human Research Potential and the Socio-economic Knowledge Base
DS Docta Complutense
RD 9 abr 2025