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Grothendieck's pairing on Neron componen...

Suzuki, Takashi...

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Grothendieck's pairing on Neron component groups: Galois descent from the semistable case by Suzuki, Takashi ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	12-10-2014
Summary	In our previous study of duality for complete discrete valuation fields with perfect residue field, we treated coefficients in finite flat group schemes. In this paper, we treat abelian varieties. This in particular implies Grothendieck's conjecture on the perfectness of his pairing between the Neron component groups of an abelian variety and its dual. The point is that our formulation is well-suited with Galois descent. From the known case of semistable abelian varieties, we deduce the perfectness in full generality. We also treat coefficients in tori and, more generally, 1-motives.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1410.3046

Citation

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AMA 11th EditionReferences

Suzuki, Takashi. Grothendieck's pairing on Neron component groups: Galois descent from the semistable case. N.A. October 12, 2014. Accessed October 02, 2025. https://online.provdatabase.com/cite/18069

APA 7th EditionReferences

Suzuki, Takashi. (2014). Grothendieck's pairing on Neron component groups: Galois descent from the semistable case. N.A. https://online.provdatabase.com/cite/18069

Chicago 17th EditionReferences

Suzuki, Takashi. Grothendieck's pairing on Neron component groups: Galois descent from the semistable case. N.A. 2014. https://online.provdatabase.com/cite/18069

HarvardReferences

Suzuki, Takashi. (2014). Grothendieck's pairing on Neron component groups: Galois descent from the semistable case. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18069. (Accessed 02 October 2025).

Harvard AustraliaReferences

Suzuki, Takashi, 2014, Grothendieck's pairing on Neron component groups: Galois descent from the semistable case, N.A, viewed 02 October 2025, <https://online.provdatabase.com/cite/18069>

MLA 9th EditionWorks Cited

Suzuki, Takashi. Grothendieck's pairing on Neron component groups: Galois descent from the semistable case. N.A, 2014. PROV Database, https://online.provdatabase.com/cite/18069.

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