Výsledky vyhledávání - "Love, Jonathan R."

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Supersingular elliptic curves, quaternion algebras and applications to cryptography

Autor: Goren, Eyal Z., Love, Jonathan R.

This paper contains a survey of supersingular isogeny graphs associated to supersingular elliptic curves and their various applications to cryptography. Within limitation of space, we attempt to address a broad audience and make this part widely acce

Externí odkaz: http://arxiv.org/abs/2410.06123

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Rational configuration problems and a family of curves

Autor: Love, Jonathan R.

Given $\eta=\begin{pmatrix} a&b\\c&d \end{pmatrix}\in \text{GL}_2(\mathbb{Q})$, we consider the number of rational points on the genus one curve \[H_\eta:y^2=(a(1-x^2)+b(2x))^2+(c(1-x^2)+d(2x))^2.\] We prove that the set of $\eta$ for which $H_\eta(\

Externí odkaz: http://arxiv.org/abs/2310.02534

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Hyperelliptic curves mapping to abelian varieties and applications to Beilinson's conjecture for zero-cycles

Autor: Gazaki, Evangelia, Love, Jonathan R.

Let $A$ be an abelian surface over an algebraically closed field $\overline{k}$ with an embedding $\overline{k}\hookrightarrow\mathbb{C}$. When $A$ is isogenous to a product of elliptic curves, we describe a large collection of pairwise non-isomorphi

Externí odkaz: http://arxiv.org/abs/2309.06361

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On elements of prescribed norm in maximal orders of a quaternion algebra

Autor: Goren, Eyal Z., Love, Jonathan R.

Let $\mathcal{O}$ be a maximal order in the quaternion algebra over $\mathbb{Q}$ ramified at $p$ and $\infty$. We prove two theorems that allow us to recover the structure of $\mathcal{O}$ from limited information. The first says that for any infinit

Externí odkaz: http://arxiv.org/abs/2307.16828

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The Role of Prophylactic Cholecystectomy versus Deferral in the Care of Patients after Endoscopic Sphincterotomy

Autor: Archibald, Jason D., Love, Jonathan R., McAlister, Vivian C.

Publikováno v: Surgery Publications
Vivian C. McAlister

Introduction: Prophylactic cholecystectomy (PC) is advised after ES and clearance of ductal calculi on the basis of a randomized controlled trial that showed a requirement for cholecystectomy in 36% of patients who defer surgery. Other studies sugges

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::3ec18e7c4bb97d7a953fbfc908d57ebe
https://ir.lib.uwo.ca/surgerypub/34

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