A supersingular coincidence

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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 languageEnglish
Pages (from-to)609-613
JournalThe Ramanujan Journal
Early online date20 Dec 2021
Publication statusPublished - 31 Oct 2022


  • Abelian surface
  • Jacobi form
  • Monster
  • Supersingular primes

ASJC Scopus subject areas

  • Algebra and Number Theory


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