Naive boundary strata and nilpotent orbits

Matt Kerr[1]; Gregory Pearlstein[2]

  • [1] Department of Mathematics, Campus Box 1146 Washington University in St. Louis St. Louis, MO 63130 (USA)
  • [2] Mathematics Department, Mail stop 3368 Texas A&M University College Station, TX 77843 (USA)

Annales de l’institut Fourier (2014)

  • Volume: 64, Issue: 6, page 2659-2714
  • ISSN: 0373-0956

Abstract

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We give a Hodge-theoretic parametrization of certain real Lie group orbits in the compact dual of a Mumford-Tate domain, and characterize the orbits which contain a naive limit Hodge filtration. A series of examples are worked out for the groups S U ( 2 , 1 ) , S p 4 , and G 2 .

How to cite

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Kerr, Matt, and Pearlstein, Gregory. "Naive boundary strata and nilpotent orbits." Annales de l’institut Fourier 64.6 (2014): 2659-2714. <http://eudml.org/doc/275602>.

@article{Kerr2014,
abstract = {We give a Hodge-theoretic parametrization of certain real Lie group orbits in the compact dual of a Mumford-Tate domain, and characterize the orbits which contain a naive limit Hodge filtration. A series of examples are worked out for the groups $SU(2,1)$, $Sp _4$, and $G_2$.},
affiliation = {Department of Mathematics, Campus Box 1146 Washington University in St. Louis St. Louis, MO 63130 (USA); Mathematics Department, Mail stop 3368 Texas A&M University College Station, TX 77843 (USA)},
author = {Kerr, Matt, Pearlstein, Gregory},
journal = {Annales de l’institut Fourier},
keywords = {Mumford-Tate groups; Mumford-Tate domains; nilpotent orbits; variation of Hodge structure; Shimura varieties},
language = {eng},
number = {6},
pages = {2659-2714},
publisher = {Association des Annales de l’institut Fourier},
title = {Naive boundary strata and nilpotent orbits},
url = {http://eudml.org/doc/275602},
volume = {64},
year = {2014},
}

TY - JOUR
AU - Kerr, Matt
AU - Pearlstein, Gregory
TI - Naive boundary strata and nilpotent orbits
JO - Annales de l’institut Fourier
PY - 2014
PB - Association des Annales de l’institut Fourier
VL - 64
IS - 6
SP - 2659
EP - 2714
AB - We give a Hodge-theoretic parametrization of certain real Lie group orbits in the compact dual of a Mumford-Tate domain, and characterize the orbits which contain a naive limit Hodge filtration. A series of examples are worked out for the groups $SU(2,1)$, $Sp _4$, and $G_2$.
LA - eng
KW - Mumford-Tate groups; Mumford-Tate domains; nilpotent orbits; variation of Hodge structure; Shimura varieties
UR - http://eudml.org/doc/275602
ER -

References

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