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- W4300872703 abstract "Let $G$ be a real algebraic group defined over $mathbb{Q}$, $Gamma$ be an arithmetic subgroup of $G$, and $T$ be a maximal $mathbb{R}$-split torus. A trajectory in $G/Gamma$ is divergent if eventually it leaves every compact subset. In some cases there is a finite collection of explicit algebraic data which account for the divergence. If this is the case, the divergent trajectory is called obvious. Given a closed cone in $T$, we study the existence of non-obvious divergent trajectories under its action in $G/Gamma$. We get a sufficient condition for the existence of a non-obvious divergence trajectory in the general case, and a full classification under the assumption that $mbox{rank}_{mathbb{Q}}G=mbox{rank}_{mathbb{R}}G=2$." @default.
- W4300872703 created "2022-10-04" @default.
- W4300872703 creator A5081670626 @default.
- W4300872703 date "2018-01-14" @default.
- W4300872703 modified "2023-10-16" @default.
- W4300872703 title "Divergent Trajectories in Arithmetic Homogeneous Spaces of Rational Rank Two" @default.
- W4300872703 doi "https://doi.org/10.48550/arxiv.1801.04549" @default.
- W4300872703 hasPublicationYear "2018" @default.
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