Semialgebraic universal covers and bounded domains
The following describes the scope of the Lean formalization related to the following accompanying paper(s):
Scope
The formalized result answers the paper's symmetry question affirmatively. A nonempty connected bounded semialgebraic subset, relatively open in a complex affine algebraic set, is smooth and biholomorphic to a bounded symmetric domain whenever a discrete group acts properly and holomorphically with compact quotient.
The action need not be free, and the ambient algebraic set may be singular.
Comparator links
| Result | Comparator statement |
|---|---|
| Symmetry of semialgebraic bounded domains | SymmetricDomains.lean |