Counting cones over reducible cubic scrolls |
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| Authors: | André Meireles Fernando Xavier Jacqueline Rojas |
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| Institution: | 1. CCEN, Departamento de Matemática — UFPE, Cidade Universitária, 50740-540, Recife, PE, Brasil
2. CCEN, Departamento de Matemática — UFPB, Cidade Universitária, 58051-900, Jo?o Pessoa, PB, Brasil
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| Abstract: | Here we construct an explicit parameter space for cones in ℙ
n
for 4 ≤ n ≤ 6 with vertices of codimension 4 and 5, respectively (when this makes sense), over a reducible cubic scroll of codimension
2 in a hyperplane (in ℙ
n
) and use it to compute the numbers of them that are incident to the appropriate number of linear spaces. |
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| Keywords: | |
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