## Annals of Mathematics |

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### Contents

Introduction | 18 |

The divisibility theorem for conical polynomials | 24 |

The main existence theorem | 31 |

Copyright | |

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### Common terms and phrases

abelian algebra analytic assume Borel boundary bundle closed positive codimension coefficients cohomology compact completes the proof complex manifold component compute conjecture consider Corollary decomposition define definition denote dense diffeomorphism dimension discrete series discrete series representation disjoint element embedding exists extended f-module fibration finite group fixed foliation follows function functor handle decomposition Hence highest weight holomorphic holomorphic function holonomy homeomorphism implies induced inequality integer invariant measure irreducible isomorphism Lemma linear Main Theorem mapping cylinder Math maximal metric module monadic monadic theory neighborhood non-zero notation obtain open subset PL fibration plurisubharmonic function polynomial proof of Theorem Proposition prove pseudogroup regular Remark representation respect restriction result satisfies Section space Stein manifold strongly closed subgroup submanifold subspace subvariety supp Suppose Theorem tion topology torsion trivial unique vector field zero