Develops an optimized Ekedahl sieve for the discriminant polynomial singular locus that bypasses inductive steps and yields stronger tail estimates incorporating modular conditions.
Journal of the London Mathematical Society , volume=
2 Pith papers cite this work. Polarity classification is still indexing.
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math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Any order in a number field decomposes uniquely as an intersection of irreducible orders, with the index distributing multiplicatively and the conductor factoring into pairwise coprime ideals.
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On the Ekedahl sieve for the singular locus of the discriminant polynomial
Develops an optimized Ekedahl sieve for the discriminant polynomial singular locus that bypasses inductive steps and yields stronger tail estimates incorporating modular conditions.
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Unique decomposition of orders
Any order in a number field decomposes uniquely as an intersection of irreducible orders, with the index distributing multiplicatively and the conductor factoring into pairwise coprime ideals.