From 949be6632e1780d56fb003b50139ca817fdc9a2e Mon Sep 17 00:00:00 2001 From: Alba Larraya Sancho Date: Fri, 11 Sep 2026 12:29:20 +0200 Subject: [PATCH] . --- generaldegreeHypersurfaces.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/generaldegreeHypersurfaces.tex b/generaldegreeHypersurfaces.tex index e03ae2b..fb7dd20 100644 --- a/generaldegreeHypersurfaces.tex +++ b/generaldegreeHypersurfaces.tex @@ -70,7 +70,7 @@ The retraction is performed in several steps, using the branched cover structure \section{Definition of the problem} Given $C$ an affine hypersurface in $\CC^2$ (i.e. a curve), Libgober gave in \cite{libgober1986} a construction of a $2$-dimensional CW-complex that is a deformation retract of its complement. However, it is not clear how to extend that construction to the projective case (that is a curve in $\CC\PP^2$). -In this work, we give a different construction to produce a specific $\Delta$-complex that is a deformation retract of the complement of a Fermat hypersurface. Since any smooth hypersurface is isotopic to a Fermat hypersurface, this particular case solves the problemfor a general smooth hypersurface. +In this work, we give a different construction to produce a specific $\Delta$-complex that is a deformation retract of the complement of a Fermat hypersurface in $\CC\PP^n$. Since any smooth hypersurface is isotopic to a Fermat hypersurface, this particular case solves the problemfor a general smooth hypersurface. \section{Smooth hypersurfaces}