The first p-jet space of an elliptic curve: Global functions and lifts of Frobenius

Alexandru Buium; Arnab Saha

doi:10.4310/MRL.2014.v21.n4.a4

The first p-jet space of an elliptic curve: Global functions and lifts of Frobenius

Alexandru Buium^*, Arnab Saha

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We prove that there are no non-constant global functions and no lifts of Frobenius on the first p-jet space on an elliptic curve unless the elliptic curve itself has a lift of Frobenius.

Original language	English
Pages (from-to)	677-689
Number of pages	13
Journal	Mathematical Research Letters
Volume	21
Issue number	4
DOIs	https://doi.org/10.4310/MRL.2014.v21.n4.a4
Publication status	Published - 2014

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10.4310/MRL.2014.v21.n4.a4

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title = "The first p-jet space of an elliptic curve: Global functions and lifts of Frobenius",

abstract = "We prove that there are no non-constant global functions and no lifts of Frobenius on the first p-jet space on an elliptic curve unless the elliptic curve itself has a lift of Frobenius.",

author = "Alexandru Buium and Arnab Saha",

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AU - Saha, Arnab

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N2 - We prove that there are no non-constant global functions and no lifts of Frobenius on the first p-jet space on an elliptic curve unless the elliptic curve itself has a lift of Frobenius.

AB - We prove that there are no non-constant global functions and no lifts of Frobenius on the first p-jet space on an elliptic curve unless the elliptic curve itself has a lift of Frobenius.

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DO - 10.4310/MRL.2014.v21.n4.a4

M3 - Article

SN - 1073-2780

VL - 21

SP - 677

EP - 689

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 4

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The first p-jet space of an elliptic curve: Global functions and lifts of Frobenius

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