Introduction
Embedded Formal Desingularization of Curves ResolveAffineCurve(p) : RngMPolElt -> List, List, List, RngIntElt Example AlgSrf_aff_crv_res (H107E1) ResolveProjectiveCurve(p) : RngMPolElt -> List, List, List, RngIntElt Example AlgSrf_prj_crv_res (H107E2)
Formal Desingularization of Surfaces ResolveAffineMonicSurface(s) : RngUPolElt -> List, RngIntElt Example AlgSrf_aff_res (H107E3) ResolveProjectiveSurface(s) : RngMPolElt -> List, RngIntElt Example AlgSrf_prj_res (H107E4)
Adjoint Systems and Birational Invariants HomAdjoints(m,n,p) : RngIntElt, RngIntElt, RngMPolElt -> SeqEnum GeometricGenusOfDesingularization(S) : Sch -> RngIntElt Plurigenus(S,m) : Sch, RngIntElt -> RngIntElt ArithmeticGenusOfDesingularization(S) : Sch -> RngIntElt Example AlgSrf_adj_ex (H107E5)
Classification and Parameterization of Rational Surfaces IsRational(X) : Sch -> BoolElt
Reduction to Special Models ClassifyProjectiveSurface(p) : RngMPolElt -> MonStgElt, SeqEnum Example AlgSrf_class (H107E6)
Parametrization of Rational Surfaces ParametrizeProjectiveHypersurface(X, P2) : Sch, Sch -> BoolElt, MapSch Example AlgSrf_prm (H107E7) Solve(p, F) : RngMPolElt, FldFunRat -> SeqEnum Example AlgSrf_prm2 (H107E8)
Parametrization of Special Surfaces ParametrizeQuadric(X,P2) : Sch, Sch -> BoolElt, MapSch Example AlgSrf_solve_quad (H107E9) ParametrizePencil(phi, P2) : MapSch, Sch -> BoolElt, MapSch Example AlgSrf_ruled_ex (H107E10) ParametrizeDelPezzo(X, P2) : Sch, Sch -> BoolElt, MapSch
Parametrization of Del Pezzo Surfaces SetVerbose("ParamDP", v) : MonStgElt, RngIntElt -> ParametrizeDegree9DelPezzo(X) : Sch -> BoolElt, MapIsoSch ParametrizeDegree8DelPezzo(X) : Sch -> BoolElt, MapSch Example AlgSrf_del-pezzo-ex-8 (H107E11) ParametrizeDegree7DelPezzo(X) : Sch -> MapIsoSch ParametrizeDegree6DelPezzo(X) : Sch -> BoolElt, MapIsoSch Degree6DelPezzoType2_1(K,pt) : FldNum, Pt -> Sch ParametrizeDelPezzoDeg6(X) : Sch -> BoolElt, MapIsoSch Example AlgSrf_del-pezzo-ex-6 (H107E12)
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