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Comparing descent obstruction and Brauer-Manin obstruction for open varieties

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Yang Cao
  • Cyril Demarche
  • Fei Xu

Externe Organisationen

  • Université Paris XI
  • Université Paris 6
  • École normale supérieure (Paris)
  • Capital Normal University
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  • Citations
    • Citation Indexes: 8
  • Captures
    • Readers: 2
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Details

OriginalspracheEnglisch
Seiten (von - bis)8625-8650
Seitenumfang26
FachzeitschriftTransactions of the American Mathematical Society
Jahrgang371
Ausgabenummer12
PublikationsstatusVeröffentlicht - 2019
Extern publiziertJa

Abstract

We provide a relation between Brauer-Manin obstruction and de- scent obstruction for torsors over not necessarily proper varieties under a con- nected linear algebraic group or a group of multiplicative type. Such a relation is also refined for torsors under a torus. The equivalence between descent ob- struction and étale Brauer-Manin obstruction for smooth projective varieties is extended to smooth quasi-projective varieties, which provides the perspective to study integral points.

ASJC Scopus Sachgebiete

Zitieren

Comparing descent obstruction and Brauer-Manin obstruction for open varieties. / Cao, Yang; Demarche, Cyril; Xu, Fei.
in: Transactions of the American Mathematical Society, Jahrgang 371, Nr. 12, 2019, S. 8625-8650.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Cao, Yang ; Demarche, Cyril ; Xu, Fei. / Comparing descent obstruction and Brauer-Manin obstruction for open varieties. in: Transactions of the American Mathematical Society. 2019 ; Jahrgang 371, Nr. 12. S. 8625-8650.
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