Results 21 to 30 of about 1,830 (178)
Étale Steenrod operations and the Artin–Tate pairing [PDF]
Compositio Mathematica, 2020 We prove a 1966 conjecture of Tate concerning the Artin–Tate pairing on the Brauer group of a surface over a finite field, which is the analog of the Cassels–Tate pairing. Tate asked if this pairing is always alternating and we find an affirmative answer, which is somewhat surprising in view of the work of Poonen–Stoll on the Cassels–Tate pairing.
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The geometric interpretation of the Tate pairing and its applications [PDF]
, 2023 While the Weil pairing is geometric, the Tate pairing is arithmetic: its value depends on the base field considered. Nevertheless, the étale topology allows to interpret the Galois action in a geometric manner.
Damien Robert
core
Pair correlation statistics for Sato–Tate sequences [PDF]
Journal of Number Theory, 2019 18 ...
Balasubramanyam, Baskar +1 more
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Abelian variety with Tate-Shafarevich group of non-square order [PDF]
, 2022 Every abelian variety has an associated Tate-Shafarevich group defined using cohomology. Cassels and Tate proved the existence of a pairing on this group.
Troletti, Daniele
core
An Efficient Hardware Implementation of the Tate Pairing in Characteristic Three [PDF]
Third International Conference on Systems (icons 2008), 2008 DL systems with bilinear structure recently became an important base for cryptographic protocols such as identity-based encryption (IBE). Since the main computational task is the evaluation of the bilinear pairings over elliptic curves, known to be prohibitively expensive, efficient implementations are required to render them applicable in real life ...
Kömürcü, Giray, Savaş, Erkay
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A Novel Multilevel Conceptual Framework for Flood Risk Governance
Environmental Policy and Governance, EarlyView.ABSTRACT Globally, flood risk is increasing as climate change progresses. Contemporary flood risk management practice often utilises hydrodynamic modelling (for hazard risk assessments), social vulnerability assessments, and risk communications in silo, which fragments evidence‐based decision‐making for effective flood risk management. We hence develop
Aiperi Stambekova, Avidesh Seenath
wiley +1 more source
JCPP Advances, EarlyView.Abstract Background Mental health difficulties in childhood are increasing. Prevention is the only sustainable and ethical public health approach. However, predicting which children are most at‐risk of mental health difficulties prior to symptoms emerging remains elusive.
Emma Butler +3 more
wiley +1 more source
Powered Tate pairing computation [PDF]
, 2005 In this paper, we introduce a powered Tate pairing on a supersingular elliptic curve that has the same shortened loop as the modified Tate pairing using the eta pairing approach by Barreto et al.
Bo Gyeong Kang, Je Hong Park
core
Comparative summary of Tate pairing computations.
, 2016 Comparative summary of Tate pairing computations.
Kim-Kwang Raymond Choo (717729) +4 more
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Hardware Acceleration of the Tate Pairing in Characteristic Three [PDF]
, 2005 Although identity based cryptography offers many functional advantages over conventional public key alternatives, the computational costs are significantly greater. The core computational task is evaluation of a bilinear map, or pairing, over elliptic curves.
Grabher, P, Page, Daniel
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