On Equimultiple Subvarieties of Algebroid Hypersurfaces
AUTOR(ES)
Zariski, Oscar
RESUMO
We deal with a finite projection πv of a hypersurface V in (r + 1)-space onto an affine r-space Ar and with the critical variety Δ of πv in Ar. We show that if Δ is equimultiple along a smooth subvariety W0, then W0 admits a unique lifting to a subvariety W of V (necessarily isomorphic to W0) and that also V is then equimultiple along W.
