A general Hilbert-Mumford criterion

Jürgen Hausen[1]

  • [1] Universität Konstanz, Fachbereich Mathematik und Statistik, Universitätstrasse 10, 78457 Konstanz (Allemagne)

Annales de l’institut Fourier (2003)

  • Volume: 53, Issue: 3, page 701-712
  • ISSN: 0373-0956

Abstract

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Let a reductive group G act on an algebraic variety X . We give a Hilbert-Mumford type criterion for the construction of open G -invariant subsets V ⊂ X admitting a good quotient by G .

How to cite

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Hausen, Jürgen. "A general Hilbert-Mumford criterion." Annales de l’institut Fourier 53.3 (2003): 701-712. <http://eudml.org/doc/116049>.

@article{Hausen2003,
abstract = {Let a reductive group $G$ act on an algebraic variety $X$. We give a Hilbert-Mumford type criterion for the construction of open $G$-invariant subsets $V\subset X$ admitting a good quotient by $G$.},
affiliation = {Universität Konstanz, Fachbereich Mathematik und Statistik, Universitätstrasse 10, 78457 Konstanz (Allemagne)},
author = {Hausen, Jürgen},
journal = {Annales de l’institut Fourier},
keywords = {reductive group actions; good quotients},
language = {eng},
number = {3},
pages = {701-712},
publisher = {Association des Annales de l'Institut Fourier},
title = {A general Hilbert-Mumford criterion},
url = {http://eudml.org/doc/116049},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Hausen, Jürgen
TI - A general Hilbert-Mumford criterion
JO - Annales de l’institut Fourier
PY - 2003
PB - Association des Annales de l'Institut Fourier
VL - 53
IS - 3
SP - 701
EP - 712
AB - Let a reductive group $G$ act on an algebraic variety $X$. We give a Hilbert-Mumford type criterion for the construction of open $G$-invariant subsets $V\subset X$ admitting a good quotient by $G$.
LA - eng
KW - reductive group actions; good quotients
UR - http://eudml.org/doc/116049
ER -

References

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  9. D. Cox, The homogeneous coordinate ring of a toric variety, J. Algebr. Geom Vol. 4 (1995), 17-50 Zbl0846.14032MR1299003
  10. J. Hausen, Equivariant embeddings into smooth toric varieties, Canad. Math. J Vol. 54 (2002), 554-570 Zbl1055.14014MR1900763
  11. J. Hausen, Producing good quotients by embedding into toric varieties, 6 (2002), 193-212, SMF Zbl1050.14045
  12. J. Hausen, A Hilbert-Mumford Criterion for SL 2 -actions Zbl1054.14060MR2031843
  13. J. Świȩcicka, Quotients of toric varieties by actions of subtori, Colloq. Math 82 (1999), 105-116 Zbl0961.14032MR1736038
  14. J. Świȩcicka, A combinatorial construction of sets with good quotients by an action of a reductive group, Colloq. Math 87 (2001), 85-102 Zbl0963.14020MR1812145
  15. J. W, Embeddings in toric varieties and prevarieties, J. Algebr. Geom 2 (1993), 705-726 Zbl0809.14043MR1227474

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