Family: genus-two — Genus 2 curve - #22
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One family: **Genus 2 curve** (`genus-two`) — P1, effective.
- Standard form: `y^2 = f(x), deg f in {5, 6}`
- Parent: `hyperelliptic`
- Examples: `y^2 = x^5 - x + 1`
Contents: the registry entry, its `docs/FAMILIES.md` section and its rows in the classification corpus.
References cited (the claim each one supports):
- `Igusa1960` — the invariants identifying a genus-2 curve up to isomorphism (the classifier's genus-2 handle)
- `CasselsFlynn1996` — explicit arithmetic of genus-2 Jacobians
Independent of every other family PR: it needs only the registry backbone it is based on.
Part of the series that splits #1 into reviewable pieces:
1. `01-bibliography` — packaging, docs, annotated bibliography
2. `02-parsing` — equation strings to a term model
3. `03-registry` — the YAML family registry (3 seed families)
4. `04-matchers` — shape recognizers
5. `05-classify` — the classification pipeline
6. `06-solvers` — solver framework, two seed solvers, and the CLI
7. `07..09-backbone` — the 23 parent families of the DAG, by depth
8. one PR per remaining family (38 of them, mutually independent)
9. `99-polish` — restore the full doctests and tighten the invariants
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One family: Genus 2 curve (
genus-two) — P1, effective.y^2 = f(x), deg f in {5, 6}hyperellipticy^2 = x^5 - x + 1Contents: the registry entry, its
docs/FAMILIES.mdsection and its rows in the classification corpus.References cited (the claim each one supports):
Igusa1960— the invariants identifying a genus-2 curve up to isomorphism (the classifier's genus-2 handle)CasselsFlynn1996— explicit arithmetic of genus-2 JacobiansIndependent of every other family PR: it needs only the registry backbone it is based on.
Part of the series that splits #1 into reviewable pieces:
01-bibliography— packaging, docs, annotated bibliography02-parsing— equation strings to a term model03-registry— the YAML family registry (3 seed families)04-matchers— shape recognizers05-classify— the classification pipeline06-solvers— solver framework, two seed solvers, and the CLI07..09-backbone— the 23 parent families of the DAG, by depth99-polish— restore the full doctests and tighten the invariants