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Price distribution over 48 days • 2 price levels

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Most common price: £59 (30 days, 62.5%)

Price range: £59 - £60

Price levels: 2 different prices over 48 days

Description

"Let be a prime. Let and be elliptic curves with isomorphic torsion modules and . Assume further that either every modules isomorphism admits a multiple with preserving the Weil pairing; or no isomorphism preserves the Weil pairing. This paper considers the problem of deciding if we are in case . Our approach is to consider the problem locally at a prime . Firstly, we determine the primes for which the local curves and contain enough information to decide between . Secondly, we establish a collection of criteria, in terms of the standard invariants associated to minimal Weierstrass models of and , to decide between . We show that our results give a complete solution to the problem by local methods away from . We apply our methods to show the non-existence of rational points on certain hyperelliptic curves of the form and where is a prime; we also give incremental results on the Fermat equation . As a different application, we discuss variants of a question raised by Mazur concerning the existence of symplectic isomorphisms between the torsion of two non-isogenous elliptic curves defined over "--

Product Specifications

Format: paperback
ASIN: 1470452103
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 30 June 2022
Listed Since: 06 May 2022

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On the Symplectic Type of Isomorphisms of the $p$-Torsion of Elliptic Curves (Memoirs of the American Mathematical Society)

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This is the most expensive it has ever been. Walk away.

On the Symplectic Type of Isomorphisms of the $p$-Torsion of Elliptic Curves (Memoirs of the American Mathematical Society)

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Price Distribution

Price Analysis

Description

Product Specifications

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Similar Products You Might Like

Unitarizability in Corank Three for Classical $p$-adic Groups (Memoirs of the American Mathematical Society)

Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models (Memoirs of the American Mathematical Society)

Paley-Wiener Theorems for a $p$-Adic Spherical Variety (Memoirs of the American Mathematical Society)

Periods of Automorphic Forms Associated to Strongly Tempered Spherical Varieties (Memoirs of the American Mathematical Society)

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