ON THE KERNEL OF THE BRAUER-MANIN PAIRING
| dc.contributor.author | GEISSER, Thomas | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MORIN, Baptiste | |
| dc.date.accessioned | 2024-04-04T02:44:07Z | |
| dc.date.available | 2024-04-04T02:44:07Z | |
| dc.date.issued | 2022 | |
| dc.identifier.issn | 0022-314X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191380 | |
| dc.description.abstractEn | Let X be a regular scheme, flat and proper over the ring of integers of a p-adic field, with generic fiber X and special fiber X_s. We study the left kernel Br(X) of the Brauer-Manin pairing Br(X)×CH 0 (X) → Q/Z. Our main result is that the kernel of the reduction map Br(X) → Br(X_s) is the direct sum of (Q/Z[1/p])^s⊕(Q/Z)^t and a finite p-group, where s+t=ρ_{X_s}−ρ_X−I+1, for ρ_{X_s} and ρ_X the Picard numbers of X_s and X, and I the number of irreducible components of X_s. Moreover, we show that t>0 implies s>0. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | ON THE KERNEL OF THE BRAUER-MANIN PAIRING | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math] | |
| bordeaux.journal | Journal of Number Theory | |
| bordeaux.page | 444-463 | |
| bordeaux.volume | 238 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03429184 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03429184v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Number%20Theory&rft.date=2022&rft.volume=238&rft.spage=444-463&rft.epage=444-463&rft.eissn=0022-314X&rft.issn=0022-314X&rft.au=GEISSER,%20Thomas&MORIN,%20Baptiste&rft.genre=article |
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