Publication:
A universal formula for the j-invariant of the canonical lifting

Placeholder

Departments

OrgUnit Logo
Organizational Unit

School / College / Institute

OrgUnit Logo
Organizational Unit

Program

KU-Authors

KU Authors

Co-Authors

Editor & Affiliation

Compiler & Affiliation

Translator

Other Contributor

Date

2015

Language

Type

Journal Article

Embargo Status

N/A

Journal Title

Journal ISSN

Volume Title

Alternative Title

Abstract

We study the j-invariant of the canonical lifting of an elliptic curve as a Witt vector. We prove that its Witt coordinates lie in an open affine subset of the j-line and deduce the existence of a universal formula for the j-invariant of the canonical lifting. The canonical lifting of the elliptic curves with j-invariant 0 and 1728 over any characteristic is also explicitly found.

Source

Publisher

Academic Press Inc.

Subject

Mathematics

Citation

Has Part

Source

Journal of Number Theory

Book Series Title

Edition

DOI

10.1016/j.jnt.2014.11.002

URI

https://doi.org/10.1016/j.jnt.2014.11.002
 https://hdl.handle.net/20.500.14288/10337

item.page.datauri

Link

Rights

N/A

Copyrights Note

Collections

Publications without Fulltext

Endorsement

Review

Supplemented By

Referenced By

Related Goal

Thumbnail Image
Sustainable Development GoalsOpen Access
07 - Affordable and Clean Energy
Renewable energy solutions are becoming cheaper, more reliable and more efficient every day.Our current reliance on fossil fuels is unsustainable and harmful to the planet, which is why we have to change the way we produce and consume energy. Implementing these new energy solutions as fast as possible is essential to counter climate change, one of the biggest threats to our own survival.
Thumbnail Image
Sustainable Development GoalsOpen Access
13 - Climate Action
Climate change is a real and undeniable threat to our entire civilization.The effects are already visible and will be catastrophic unless we act now. Through education, innovation and adherence to our climate commitments, we can make the necessary changes to protect the planet. These changes also provide huge opportunities to modernize our infrastructure which will create new jobs and promote greater prosperity across the globe.

3

Views

0

Downloads

View PlumX Details