Corpus ID: 237940404

A Universal Formula For Counting Cubic Surfaces

  title={A Universal Formula For Counting Cubic Surfaces},
  author={Anand Deopurkar and Anand Patel and Dennis Tseng},
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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