From bc7f16d1887c9120c2faa9d50fa10b440e6e81cb Mon Sep 17 00:00:00 2001 From: Alba Larraya Sancho Date: Fri, 11 Sep 2026 12:24:29 +0200 Subject: [PATCH] =?UTF-8?q?peque=C3=B1os=20cambios?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- generaldegreeHypersurfaces.tex | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/generaldegreeHypersurfaces.tex b/generaldegreeHypersurfaces.tex index ffcf913..e03ae2b 100644 --- a/generaldegreeHypersurfaces.tex +++ b/generaldegreeHypersurfaces.tex @@ -61,9 +61,9 @@ MICIU/AEI/10.13039/501100011033 and CEX2021-001142-S-20-9.} \begin{abstract} -Due to a result by Andreotti and Frankel \cite{andreotti1959}, it can be seen that the complement of a complex projective curve has the homotopy type of a $2$-dimensional CW complex. However, no general method has been given to compute explicitly this complex. Here we give a explicit construction of a $2$- dimensional $\Delta$-complex that is a strong deformation retract of the complement of a Fermat curve of degree $d$ in the complex projective space. +Due to a result by Andreotti and Frankel \cite{andreotti1959}, it can be seen that the complement of a complex projective curve has the homotopy type of a $2$-dimensional CW complex. However, no general method has been given to compute explicitly this complex. Here we give a explicit construction of a $n$- dimensional $\Delta$-complex that is a strong deformation retract of the complement of a Fermat hypersurface of degree $d$ in the complex projective space of dimension $n$. -The retraction is performed in several steps, using the branched cover structure of the Fermat curves to the degree $1$ case. +The retraction is performed in several steps, using the branched cover structure of the Fermat hypersurfaces to the degree $1$ case. \end{abstract} \maketitle