A supersingular coincidence

Gregory Sankaran

doi:10.1007/s11139-021-00526-4

A supersingular coincidence

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

Abstract

The 15 primes 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 47, 59, 71 are called the supersingular primes: they occur in several contexts in number theory and also, strikingly, they are the primes that divide the order of the Monster. It is also known that the moduli space of (1, p)-polarised abelian surfaces is of general type for these primes. In this note, we explain that apparently coincidental fact by relating it to other number-theoretic occurences of the supersingular primes.

Original language	English
Pages (from-to)	609-613
Journal	The Ramanujan Journal
Volume	59
Early online date	20 Dec 2021
DOIs	https://doi.org/10.1007/s11139-021-00526-4
Publication status	Published - 31 Oct 2022

Keywords

Abelian surface
Jacobi form
Monster
Supersingular primes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s11139-021-00526-4Licence: CC BY

https://arxiv.org/pdf/2009.11379.pdf

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A supersingular coincidence

Abstract

Keywords

ASJC Scopus subject areas

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