# A Universal Formula For Counting Cubic Surfaces

@inproceedings{Deopurkar2021AUF, title={A Universal Formula For Counting Cubic Surfaces}, author={Anand Deopurkar and Anand Patel and Dennis Tseng}, year={2021} }

Using equivariant geometry, we find a universal formula that computes the number of times a general cubic surface arises in a family. As applications, we show that the PGL4 orbit closure of a generic cubic surface has degree 96120, and that a general cubic surface arises 42120 times as a hyperplane section of a general cubic 3-fold.

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