Fields of moduli and fields of definition of curves

Bonnie Huggins

Fields of moduli and fields of definition of curves

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 math/0610247 v1 pith:ZN7H4KJV submitted 2006-10-07 math.NT math.AG

Bonnie Huggins This is my paper · ORCID

classification math.NTmath.AG

keywords fieldsmodulicurvesfieldcharacteristicconditionscurvedefinable

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

We determine conditions that guarantee that a hyperelliptic or plane curve over a field of characteristic not equal to 2 can be defined over its field of moduli. We also give new examples of curves not definable over their fields of moduli.

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

On the Fields of Moduli of Curves of Genus Six
math.AG 2026-07 conditional novelty 7.0 of 10

For genus-6 curves, bielliptic curves descend to their field of moduli, and non-descent can only occur for curves on smooth degree-5 del Pezzo surfaces with automorphism group C2 or D10 (with √-1 outside the base fiel...

Pith tools