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Evidence for the Dynamical Brauer-Manin Criterion
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).ORCID iD: 0000-0003-4734-5092
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2016 (English)In: Experimental Mathematics, ISSN 1058-6458, E-ISSN 1944-950X, Vol. 25, no 1, 54-65 p.Article in journal (Refereed) PublishedText
Abstract [en]

Let phi: X -> X be a morphism of a variety over a number field K. We consider local conditions and a "Brauer-Manin" condition, defined by Hsia and Silverman, for the orbit of a point P is an element of X(K) to be disjoint from a subvariety V subset of X, i.e., for V boolean AND O-phi (P) = empty set. We provide evidence that the dynamical Brauer-Manin condition is sufficient to explain the lack of points in the intersection V boolean AND O-phi (P); this evidence stems from a probabilistic argument as well as unconditional results in the case of etale maps.

Place, publisher, year, edition, pages
Taylor & Francis, 2016. Vol. 25, no 1, 54-65 p.
Keyword [en]
arithmetic dynamics, Brauer-Manin obstruction
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URN: urn:nbn:se:kth:diva-180209DOI: 10.1080/10586458.2015.1056889ISI: 000365894600005ScopusID: 2-s2.0-84948427877OAI: diva2:895725

QC 20160119

Available from: 2016-01-19 Created: 2016-01-08 Last updated: 2016-01-20Bibliographically approved

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Kurlberg, Pär
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