Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-r5zm4 Total loading time: 0 Render date: 2024-06-14T02:24:43.712Z Has data issue: false hasContentIssue false

7 - Actions algébriques de groupes arithmétiques

from PART TWO - CONTRIBUTED PAPERS

Published online by Cambridge University Press:  05 May 2013

P. Gille
Affiliation:
France
L. Moret-Bailly
Affiliation:
Université de Rennes 1
Alexei N. Skorobogatov
Affiliation:
Imperial College London
Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2013

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[A] S., Anantharaman, Schémas en groupes, espaces homogènes et espaces algébriques sur une base de dimension 1, Bull. Soc. Math. France, Mem. 33 (1973).Google Scholar
[B] A., Borel, Some finiteness properties of adele groups over number fields, Inst. Hautes Etudes Sci. Pubi. Math. 16, (1963), 5–30.Google Scholar
[BP] A., Borel et G., Prasad, Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups, Inst. Hautes Etudes Sci. Pubi. Math. 69, (1989), 119–171.Google Scholar
[BS] A., Borei et J.-P., Serre, Théorèmes de finitude en cohomologie galoisienne, Comment. Math. Helv. 39 (1964), 111–164.Google Scholar
[BT] F., Bruhat et J., Tits, Groupes réductifs sur un corps local II, Publ. Math. IHES 60 (1984).Google Scholar
[BT2] F., Bruhat et J., Tits, Groupes algébriques sur un corps local. Chapitre I. Compléments et applications à la cohomologie galoisienne,J.Fac. Sci. Univ. Tokyo Sect. IA Math. 34 (1987), 671–698.Google Scholar
[C] B., Conrad, Finiteness theorems for algebraic groups over functionfields,Compos. Math. 148 (2012), 555–639.Google Scholar
[DG] M., Demazure et P., Gabriel, Groupes algébriques, Masson (1970).Google Scholar
[EGA4] A., Grothendieck et J., Dieudonné, Eléments de géométrie algébrique IV.2 et IV.3, Pub. Math. IHES 24 et 28 (1965).Google Scholar
[GMS] S., Garibaldi, A., Merkurjev, J.-P., Serre, Cohomological Invariants in Galois Cohomology, University Lecture Series 28 (2003), American Mathematical Society.Google Scholar
[G] P., Gille, Torseurs sur la droite affine, Transform. Groups 7 (2002), 231–245.Google Scholar
[Gi] J., Giraud, Cohomologie non abélienne, Grundlehren der mathematischen Wissenschaften 179, Springer-Verlag (1971).
[H] G., Harder, Über die Galoiskohomologie halbeinfacher algebraischer Gruppen. III, J. Reine Angew. Math. 274/275 (1975), 125–138.Google Scholar
[HS] D., Harari et A. N., Skorobogatov, Non-abelian cohomology and rational points, Compositio Math. 130 (2002), 241–273.Google Scholar
[J] M., Jarden, The Cebotarev Density Theorem for Function Fields : An Elementary Approach, Math. Ann. 261, 467–475 (1982).Google Scholar
[Kn] M. A., Knus, Quadratic and hermitian forms over rings, Grundlehren der mat. Wissenschaften 294 (1991), Springer.
[Ko] R., Kottwitz, Rational conjugacy classes in reductive groups, Duke Math. J. 49 (1982), 785–806.Google Scholar
[KS] K., Kato et S., Saito, Unramified class field theory of arithmetical surfaces, Ann. of Math. 118 (1983), 241–275.Google Scholar
[M1] J. S., Milne, Etale cohomology, Princeton Mathematical Series, 33 (1980), Princeton University Press.
[M2] J. S., Milne, Arithmetic duality theorems, Perspectives in Mathematics 1 (1986), Academic Press.
[N] Ye. A., Nisnevich, Espaces homogènes principaux rationnellement triviaux et arithmétique des schémas en groupes réductifs sur les anneaux de Dedekind, C.R. Acad Sci. Paris, tome 299 (1984), 5–8.Google Scholar
[O] J., Oesterlé, Nombres de Tamagawa et groupes unipotents en caractéristique p > 0, Inv. Math. 78 (1984), 13–88.Google Scholar
[P] V., Platonov, Le problème du genre dans les groupes arithmétiques, Dokl. Akad. Nauk SSSR 200 (1971), 793–796, traduction anglaise Soviet Math. Dokl. 12 (1971), 1503-1507.Google Scholar
[PR] V., Platonov et A., Rapinchuk, Algebraic groups and number theory, Pure and Applied Mathematics 139 (1994), Academic Press.
[Sa] J.-J., Sansuc, Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres, J. reine angew. Math. 327 (1981), 12–80.Google Scholar
[S] J.-P., Serre, Cohomologie galoisienne, Lecture Notes in Math. 5, 5e édition (1994), Springer-Verlag.
[SGA1] Séminaire de Géométrie algébrique de l'I.H.E.S., Revêtements étales et groupe fondamental, dirigé par A. Grothendieck, Lecture Notes in Math. 224. Springer (1971).
[SGA3] Séminaire de Géométrie algébrique de l'I.H.E.S., 1963-1964, Schémas en groupes, dirigé par M. Demazure et A. Grothendieck, Lecture Notes in Math.151–153, Springer (1970).
[UY] E., Ullmo et A., Yafaev, Galois orbits and equidistribution of special subvarieties : towards the André-Oort conjecture, prépublication (2006).

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×