Title	Obstructions to existence of rational points on curves from subgroups of the Brauer group
Creator	Voloch, Felipe
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-05-30T11:55
Description	It is widely expected that, if a curve over a global field has no rational points, that there is an obstruction to existence of rational points coming from the Brauer group. One piece of evidence for this is an heuristic due to Poonen. We show that Poonen's argument also applies to p-primary subgroups of the Brauer group (for any prime p) but that there are examples of curves with no rational point but not having an obstruction coming from the p-primary subgroups of the Brauer group. Joint work with B. Creutz and B. Viray.
Extent	31.0
Subject	Mathematics; Number theory; Algebraic geometry; Arithmetic number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Canterbury
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-03-14
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0376877
URI	http://hdl.handle.net/2429/68711
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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