Weighted class numbers yield explicit global distributions of endomorphism rings in ordinary isogeny classes, with natural density 1/(2h(D)) for primes admitting CM by a given order O_D via Chebotarev.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Proves coset-refined trace theorem for cubic norm tori over finite fields with square-root cancellation bounds and analyzes nodal degeneration plus local affine branches.
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Weighted Distributions of Complex Multiplication Orders in Ordinary Isogeny Classes
Weighted class numbers yield explicit global distributions of endomorphism rings in ordinary isogeny classes, with natural density 1/(2h(D)) for primes admitting CM by a given order O_D via Chebotarev.
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Coset-refined trace statistics, nodal characters, and affine branches in cubic norm tori
Proves coset-refined trace theorem for cubic norm tori over finite fields with square-root cancellation bounds and analyzes nodal degeneration plus local affine branches.