Translator Disclaimer
15 May 2022 Planes in four-space and four associated CM points
Menny Aka, Manfred Einsiedler, Andreas Wieser
Author Affiliations +
Duke Math. J. 171(7): 1469-1529 (15 May 2022). DOI: 10.1215/00127094-2021-0040

Abstract

To any two-dimensional rational plane in four-dimensional space one can naturally attach a point in the Grassmannian Gr(2,4) and four shapes of lattices of rank two. Here, the first two lattices originate from the plane and its orthogonal complement, and the second two essentially arise from the accidental local isomorphism between SO(4) and SO(3)×SO(3). As an application of a recent result of Einsiedler and Lindenstrauss on algebraicity of joinings, we prove simultaneous equidistribution of all of these objects under two splitting conditions.

Citation

Download Citation

Menny Aka. Manfred Einsiedler. Andreas Wieser. "Planes in four-space and four associated CM points." Duke Math. J. 171 (7) 1469 - 1529, 15 May 2022. https://doi.org/10.1215/00127094-2021-0040

Information

Received: 29 July 2019; Revised: 11 May 2021; Published: 15 May 2022
First available in Project Euclid: 14 April 2022

Digital Object Identifier: 10.1215/00127094-2021-0040

Subjects:
Primary: 37A17
Secondary: 11F85 , 11H55

Keywords: CM points , equidistribution , ergodic theory , glue group , number theory , planes in four-space

Rights: Copyright © 2022 Duke University Press

JOURNAL ARTICLE
61 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.171 • No. 7 • 15 May 2022
Back to Top