Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300756494> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W4300756494 abstract "Let $mathcal X$ be a regular variety, flat and proper over a complete regular curve over a finite field, such that the generic fiber $X$ is smooth and geometrically connected. We prove that the Brauer group of $mathcal X$ is finite if and only Tate's conjecture for divisors on $X$ holds and the Tate-Shafarevich group of the Albanese variety of $X$ is finite, generalizing a theorem of Artin and Grothendieck for surfaces to arbitrary relative dimension. We also give a formula relating the orders of the group under the assumption that they are finite, generalizing the formula given for a surface." @default.
- W4300756494 created "2022-10-04" @default.
- W4300756494 creator A5035321624 @default.
- W4300756494 date "2018-01-08" @default.
- W4300756494 modified "2023-10-14" @default.
- W4300756494 title "Tate's conjecture and the Tate-Shafarevich group over global function fields" @default.
- W4300756494 doi "https://doi.org/10.48550/arxiv.1801.02406" @default.
- W4300756494 hasPublicationYear "2018" @default.
- W4300756494 type Work @default.
- W4300756494 citedByCount "0" @default.
- W4300756494 crossrefType "posted-content" @default.
- W4300756494 hasAuthorship W4300756494A5035321624 @default.
- W4300756494 hasBestOaLocation W43007564941 @default.
- W4300756494 hasConcept C105795698 @default.
- W4300756494 hasConcept C114614502 @default.
- W4300756494 hasConcept C121332964 @default.
- W4300756494 hasConcept C136197465 @default.
- W4300756494 hasConcept C14036430 @default.
- W4300756494 hasConcept C202444582 @default.
- W4300756494 hasConcept C2524010 @default.
- W4300756494 hasConcept C2776799497 @default.
- W4300756494 hasConcept C2777404646 @default.
- W4300756494 hasConcept C2778795570 @default.
- W4300756494 hasConcept C2780990831 @default.
- W4300756494 hasConcept C2781311116 @default.
- W4300756494 hasConcept C33676613 @default.
- W4300756494 hasConcept C33923547 @default.
- W4300756494 hasConcept C62196294 @default.
- W4300756494 hasConcept C62520636 @default.
- W4300756494 hasConcept C77926391 @default.
- W4300756494 hasConcept C78458016 @default.
- W4300756494 hasConcept C86803240 @default.
- W4300756494 hasConcept C9652623 @default.
- W4300756494 hasConceptScore W4300756494C105795698 @default.
- W4300756494 hasConceptScore W4300756494C114614502 @default.
- W4300756494 hasConceptScore W4300756494C121332964 @default.
- W4300756494 hasConceptScore W4300756494C136197465 @default.
- W4300756494 hasConceptScore W4300756494C14036430 @default.
- W4300756494 hasConceptScore W4300756494C202444582 @default.
- W4300756494 hasConceptScore W4300756494C2524010 @default.
- W4300756494 hasConceptScore W4300756494C2776799497 @default.
- W4300756494 hasConceptScore W4300756494C2777404646 @default.
- W4300756494 hasConceptScore W4300756494C2778795570 @default.
- W4300756494 hasConceptScore W4300756494C2780990831 @default.
- W4300756494 hasConceptScore W4300756494C2781311116 @default.
- W4300756494 hasConceptScore W4300756494C33676613 @default.
- W4300756494 hasConceptScore W4300756494C33923547 @default.
- W4300756494 hasConceptScore W4300756494C62196294 @default.
- W4300756494 hasConceptScore W4300756494C62520636 @default.
- W4300756494 hasConceptScore W4300756494C77926391 @default.
- W4300756494 hasConceptScore W4300756494C78458016 @default.
- W4300756494 hasConceptScore W4300756494C86803240 @default.
- W4300756494 hasConceptScore W4300756494C9652623 @default.
- W4300756494 hasLocation W43007564941 @default.
- W4300756494 hasOpenAccess W4300756494 @default.
- W4300756494 hasPrimaryLocation W43007564941 @default.
- W4300756494 hasRelatedWork W1968743814 @default.
- W4300756494 hasRelatedWork W201804175 @default.
- W4300756494 hasRelatedWork W2145574288 @default.
- W4300756494 hasRelatedWork W2323690409 @default.
- W4300756494 hasRelatedWork W2783287425 @default.
- W4300756494 hasRelatedWork W2897153210 @default.
- W4300756494 hasRelatedWork W2952838235 @default.
- W4300756494 hasRelatedWork W3045991393 @default.
- W4300756494 hasRelatedWork W3175359638 @default.
- W4300756494 hasRelatedWork W4298185993 @default.
- W4300756494 isParatext "false" @default.
- W4300756494 isRetracted "false" @default.
- W4300756494 workType "article" @default.