Canonical forms of positive geometries are constructed from Hodge theory and are unique exactly for 'genus zero pairs', with new formulas for polytopes and hyperplane arrangements.
Brieskorn, Sur les groupes de tresses [d'apr\`es V
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Positive geometries and canonical forms via mixed Hodge theory
Canonical forms of positive geometries are constructed from Hodge theory and are unique exactly for 'genus zero pairs', with new formulas for polytopes and hyperplane arrangements.