A Universal Formula For Counting Cubic Surfaces

Autor:	Deopurkar, Anand, Patel, Anand, Tseng, Dennis
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	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 PGL(4) 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. Comment: We welcome any and all comments!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.12672 Zobrazit plný text záznamu View this record from Arxiv