96120: The degree of the linear orbit of a cubic surface

Abstract

The projective linear group \(\pgl(\comp,4)\) acts on cubic surfaces, considered as points of ${\mathbb{P}}_{\mathbb{C}}^{19}$. We compute the degree of the $15$-dimensional projective variety given by the Zariski closure of the orbit of a general cubic surface. The result, 96120, is obtained using methods from numerical algebraic geometry.

12 pages

Cited by in corpus (1)

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