Starting from a cubic cone F_3(x_0,x_1,x_2,x_3)=0 in the projetive space, having the vertex as unique singularity and in particular position with respect to the fundamental tetrahedron, we construct the degree nine projective surface F_3(x_0^3,x_1^3,x_2^3,x_3^3)=0 endowed with 39 ordinary triple points and no other singularities.
A Degree Nine Surface with 39 Triple Points
STAGNARO, EZIO
2004
Abstract
Starting from a cubic cone F_3(x_0,x_1,x_2,x_3)=0 in the projetive space, having the vertex as unique singularity and in particular position with respect to the fundamental tetrahedron, we construct the degree nine projective surface F_3(x_0^3,x_1^3,x_2^3,x_3^3)=0 endowed with 39 ordinary triple points and no other singularities.File in questo prodotto:
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