Pith. sign in

REVIEW 1 cited by

Local isomorphism classes of fractional ideals of orders in \'etale algebras

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2311.18571 v2 pith:K3YYHOMA submitted 2023-11-30 math.NT math.RA

Stefano Marseglia This is my paper · ORCID
classification math.NTmath.RA
keywords classesalgebrasetalefractionalidealsisomorphismknownlocal
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

We study the local isomorphism classes, also known as genera or weak equivalence classes, of fractional ideals of orders in \'etale algebras. We provide a classification in terms of linear algebra objects over residue fields. As a by-product, we obtain a recursive algorithm to compute representatives of the classes, which vastly outperforms previously known methods.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Enumerating orders in number fields

    math.NT 2024-11 accept novelty 7.0 of 10

    Orders in a number field form a tree, giving a complete and duplicate-free enumeration of orders of bounded index and of overorders of a given order.

Pith tools