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arXiv · 2205.07788

Configuration of five points in $\mathbb P^3$ and their limits

Naoya Shimamoto
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Abstract

We give a classification of ordered five points in $\mathbb P^3$ under the diagonal action of $GL_4$ over an algebraically closed field of characteristic $0$, by an explicit description of the diagonal action of $GL_4$ on the quintuple of the projective varieties $\mathbb P^3$. This is the second simplest setting, where a reductive subgroup of $H$ of $G$ has an open orbit in a (generalised) flag variety $X$ of $G$ but $\#(H\backslash X)=\infty$. The closure relations among infinitely many orbits are also given.

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BibTeXRIS

Naoya Shimamoto. 2022-05-16. Configuration of five points in $\mathbb P^3$ and their limits. https://arxiv.org/abs/2205.07788

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