Effective equidistribution of S-integral points on symmetric varieties

Yves Benoist[1]; Hee Oh[2]

  • [1] Université d’Orsay, Mathématiques Bat. 425, 91405 Orsay France
  • [2] Brown University

Annales de l’institut Fourier (2012)

  • Volume: 62, Issue: 5, page 1889-1942
  • ISSN: 0373-0956

Abstract

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Let K be a global field of characteristic not 2. Let Z = H ∖ G be a symmetric variety defined over K and S a finite set of places of K . We obtain counting and equidistribution results for the S-integral points of Z . Our results are effective when K is a number field.

How to cite

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Benoist, Yves, and Oh, Hee. "Effective equidistribution of S-integral points on symmetric varieties." Annales de l’institut Fourier 62.5 (2012): 1889-1942. <http://eudml.org/doc/251120>.

@article{Benoist2012,
abstract = {Let $K$ be a global field of characteristic not 2. Let $\bf \{Z\}=\bf \{H\}\backslash \bf \{G\}$ be a symmetric variety defined over $K$ and $S$ a finite set of places of $K$. We obtain counting and equidistribution results for the S-integral points of $\bf \{Z\}$. Our results are effective when $K$ is a number field.},
affiliation = {Université d’Orsay, Mathématiques Bat. 425, 91405 Orsay France; Brown University},
author = {Benoist, Yves, Oh, Hee},
journal = {Annales de l’institut Fourier},
keywords = {Counting; equidistribution; rational points; mixing; ; symmetric spaces; polar decomposition; resolution of singularities; counting},
language = {eng},
number = {5},
pages = {1889-1942},
publisher = {Association des Annales de l’institut Fourier},
title = {Effective equidistribution of S-integral points on symmetric varieties},
url = {http://eudml.org/doc/251120},
volume = {62},
year = {2012},
}

TY - JOUR
AU - Benoist, Yves
AU - Oh, Hee
TI - Effective equidistribution of S-integral points on symmetric varieties
JO - Annales de l’institut Fourier
PY - 2012
PB - Association des Annales de l’institut Fourier
VL - 62
IS - 5
SP - 1889
EP - 1942
AB - Let $K$ be a global field of characteristic not 2. Let $\bf {Z}=\bf {H}\backslash \bf {G}$ be a symmetric variety defined over $K$ and $S$ a finite set of places of $K$. We obtain counting and equidistribution results for the S-integral points of $\bf {Z}$. Our results are effective when $K$ is a number field.
LA - eng
KW - Counting; equidistribution; rational points; mixing; ; symmetric spaces; polar decomposition; resolution of singularities; counting
UR - http://eudml.org/doc/251120
ER -

References

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