The defect of weak approximation for homogeneous spaces

Mikhail Borovoi

Annales de la Faculté des sciences de Toulouse : Mathématiques (1999)

  • Volume: 8, Issue: 2, page 219-233
  • ISSN: 0240-2963

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Borovoi, Mikhail. "The defect of weak approximation for homogeneous spaces." Annales de la Faculté des sciences de Toulouse : Mathématiques 8.2 (1999): 219-233. <http://eudml.org/doc/73485>.

@article{Borovoi1999,
author = {Borovoi, Mikhail},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {algebraic number field; weak approximation; homogeneous space; Brauer group},
language = {eng},
number = {2},
pages = {219-233},
publisher = {UNIVERSITE PAUL SABATIER},
title = {The defect of weak approximation for homogeneous spaces},
url = {http://eudml.org/doc/73485},
volume = {8},
year = {1999},
}

TY - JOUR
AU - Borovoi, Mikhail
TI - The defect of weak approximation for homogeneous spaces
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1999
PB - UNIVERSITE PAUL SABATIER
VL - 8
IS - 2
SP - 219
EP - 233
LA - eng
KW - algebraic number field; weak approximation; homogeneous space; Brauer group
UR - http://eudml.org/doc/73485
ER -

References

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  1. [Bol] Borovoi M., On weak approximation in homogeneous spaces of algebraic groups, Soviet Math. Dokl.42 (1991), pp. 247-251. Zbl0759.20015MR1118467
  2. [Bo2] Borovoi M., On weak approximation in homogeneous spaces of simply connected algebraic groups, Proc. Internat. Conf. "Automorphic Functions and Their Applications, Khabarovsk, June 27 - July 4, 1988" (N. Kuznetsov and V. Bykovsky, eds.), Khabarovsk, 1990, pp. 64-81. Zbl0787.14009MR1096968
  3. [Bo3] Borovoi M., Abelian Galois cohomology of reductive group, Memoirs of Amer. Math. Soc.132 (1998), no. 626. Zbl0918.20037MR1401491
  4. [Ko1] Kottwitz R.E., Stable trace formula: cuspidal tempered terms, Duke Math. J.51 (1984), pp. 611-650. Zbl0576.22020MR757954
  5. [Ko2] Kottwitz R.E., Stable trace formula: elliptic singular terms, Math. Ann.275 (1986), pp. 365-399. Zbl0577.10028MR858284
  6. [Sa] Sansuc J.-J., Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres, Jfür die reine und angew. Math.327 (1981), pp. 12-80. Zbl0468.14007MR631309
  7. [Vol] Voskresenskiĭ V.E., Birntional properties of linear algebraic groups, Izv. Akad. Nauk SSSR34 (1970), pp. 3-19; English transl. in Math. USSR Izv.4 (1970), pp. 1-17. Zbl0254.14016MR262251
  8. [Vo2] Voskresenskiĭ V.E., Algebraic Groups and their Birational Invariants, Translations of Mathematical Monographs, vol. 179, AMS, Providence, Rhode Island, 1998. Zbl0974.14034MR1634406

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