A supersingular coincidence
G.K. Sankaran
TL;DR
This paper explains the connection between the fifteen supersingular primes and the theory of moduli of abelian surfaces, clarifying their mathematical significance.
Contribution
It provides an exposition on why the fifteen supersingular primes are relevant in the context of abelian surface moduli theory.
Findings
Identifies the role of supersingular primes in abelian surface moduli
Clarifies the mathematical reason for the specific set of supersingular primes
Links number theory with algebraic geometry concepts
Abstract
The fifteen supersingular primes, see https://oeis.org/A002267, appear in the theory of the moduli of abelian surfaces. This short expository note explains why.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Analytic Number Theory Research