1,038 research outputs found
A Conversation with Mark Zuckerberg and Yuval Noah Harari
MZ shares the third conversation of his 2019 personal challenge. He sat down with Yuval Noah Harari, historian and author of Sapiens, Homo Deus, and 21 Lessons For the 21st Century.https://epublications.marquette.edu/zuckerberg_files_videos/1287/thumbnail.jp
[The adoption of a general mandatory income tax reporting system and a beneficial ownership registration for legal entities]
Tax Justice Network ISRAEL; [author: Roi Harari with Dr. Tamir Shanan and RA Moran Harari]Text hebräischHebräisc
Local-global principles for 1-motives
Building upon our arithmetic duality theorems for 1-motives, we prove that the Manin obstruction related to a finite subquotient B(X) of the Brauer group is the only obstruction to the Hasse principle for rational points on torsors under semiabelian varieties over a number field, assuming the finiteness of the Tate-Shafarevich group of the abelian quotient. This theorem answers a question by Skorobogatov in the semiabelian case and is a key ingredient of recent work on the elementary obstruction for homogeneous spaces over number fields. We also establish a Cassels-Tate-type dual exact sequence for 1-motives and give an application to weak approximation
Galois sections for abelianized fundamental groups
Given a smooth projective curve X of genus at least 2 over a number field k, Grothendieck's Section Conjecture predicts that the canonical projection from the étale fundamental group of X onto the absolute Galois group of k has a section if and only if the curve has a rational point. We show that there exist curves where the above map has a section over each completion of k but not over k. In the appendix Victor Flynn gives explicit examples in genus 2. Our result is a consequence of a more general investigation of the existence of sections for the projection of the étale fundamental group 'with abelianized geometric part' onto the Galois group. We also point out the relation to the elementary obstruction of Colliot-Thélène and Sansuc. © 2009 Springer-Verlag
Erratum: Arithmetic duality theorems for 1-motives (Journal für die Reine und Angewandte Mathematik (2005) 578 (93-128))
Local-global questions for tori over p-adic function fields
We study local-global questions for Galois cohomology over the function field of a curve defined over a p-adic field (a field of cohomological dimension 3). We define Tate-Shafarevich groups of a commutative group scheme via cohomology classes locally trivial at each completion of the base field coming from a closed point of the curve. In the case of a torus we establish a perfect duality between the first Tate-Shafarevich group of the torus and the second Tate-Shafarevich group of the dual torus. Building upon the duality theorem, we show that the failure of the local-global principle for rational points on principal homogeneous spaces under tori is controlled by a certain subquotient of a third etale cohomology group. We also prove a generalization to principal homogeneous spaces of certain reductive group schemes in the case when the base curve has good reduction
Education economics (University Paris 13, EPOG Master 2)
Hugo Harari-Kermadec's intervention (2 hours) in David Flacher's course of education economics (2015, november). Extracts from classics of Marxism Slides on commodity fetishism and Quantification of Universit
Weak Approximation for Tori over p-adic Function Fields
We study local-global questions for Galois cohomology over the function field of a curve defined over a p-adic field, the main focus being weak approximation of rational points. We construct a 9-term Poitou-Tate-type exact sequence for tori over a field as above (and also a 12-term sequence for finite modules). Like in the number field case, part of the sequence can then be used to analyze the defect of weak approximation for a torus. We also show that the defect of weak approximation is controlled by a certain subgroup of the third unramified cohomology group of the torus. © 2014 © The Author(s) 2014. Published by Oxford University Press. All rights reserved
La Tarda Antichità nel "territorio varesino"
Analisi delle problematiche archeologiche del territorio nord-occidentale di Mediolanum in epoca tardoantica, ora - in gran parte - provincia di Varese
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