| import OAI.AlgebraicGeometry.CommutingDerivations.LocalizationSetup | |
| import Mathlib.Algebra.CharP.Algebra | |
| namespace OAI | |
| /-! The concrete Laurent coefficient ring is a characteristic-zero domain. | |
| These instances are consequences of its actual localization construction. -/ | |
| noncomputable section | |
| namespace AbhyankarSathaye.CommutingDerivations | |
| instance laurentCoefficients_isDomain : IsDomain LaurentCoefficients := | |
| Localization.Away.isDomain (Polynomial.X_ne_zero : (Polynomial.X : Polynomial ℂ) ≠ 0) | |
| instance laurentCoefficients_charZero : CharZero LaurentCoefficients := | |
| charZero_of_injective_algebraMap (algebraMap ℂ LaurentCoefficients).injective | |
| end AbhyankarSathaye.CommutingDerivations | |
| end | |
| end OAI | |