NONEXISTENCE OF PSEUDO-CANONICAL LIFTINGS-Reference-Cited by-同舟云学术

NONEXISTENCE OF PSEUDO-CANONICAL LIFTINGS

Published:2012-02 Issue:01 Volume:08 Page:31-51
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

FINOTTI LUÍS R. A.¹

Affiliation:

1. Department of Mathematics, University of Tennessee, Knoxville, TN 37996, USA

Abstract

In this paper we show that pseudo-canonical liftings do not exist, by showing that if j0 ↦ (j0, J1(j0), J2(j0),…) is the map that gives canonical liftings for ordinary j0, then J2 has a pole at j0 = 1728 if p ≡ 3 ( mod 4) and J3 has a pole at j0 = 0 if p ≡ 5 ( mod 6). Moreover, precise descriptions of J2 and J3 are given.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042112500029

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