Potential integral density on curve character varieties
The following describes the scope of the Lean formalization related to the following accompanying paper(s):
Scope
The integral-density question asks whether integral points become Zariski dense in every component of a curve character variety after one finite extension of the number field. The linked formalization proves a supporting compatibility result for its marked-surface construction. Given a proper diagram with finitely many vertices, a chosen seam with maximal adjacent facet rank and a positive-genus parent, puncture data, an existing solution over a field, and a chosen boundary occurrence, the produced marked values satisfy every seam equation.
This is conditional compatibility of the produced solution. Potential integral density, including the prescribed-boundary and all-component conclusions, remains outside the selected statement.
Comparator links
| Result | Comparator statement |
|---|---|
| Compatibility of the produced marked solution with every seam equation | CharacterVarietiesAllSeamsSupport.lean |