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arXiv · 1909.06620

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

Laura Brustenga i Moncusí·Sascha Timme·Madeleine Weinstein
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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.

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Laura Brustenga i Moncusí, Sascha Timme, Madeleine Weinstein. 2019-09-14. 96120: The degree of the linear orbit of a cubic surface. https://arxiv.org/abs/1909.06620

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