## Nagoya Mathematical Journal, Volumes 189-191 |

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### Contents

Direct summands of syzygy modules of the residue | 1 |

Hartogs type theorems for CR L2 functions on cover | 27 |

Symmetry on linear relations for multiple | 49 |

8 other sections not shown

### Common terms and phrases

abelian groups abelian variety algebraic group associated assume automorphic Bala-Carter canonical map cocharacter coincides commutative complex torus components condition consider Corollary corresponding curve defined definition denote diagram dimension divisor Eisenstein series embedding equivalent etale exact sequence exists extension fiber filtration finite type follows formula fs log function functor fundamental germ Gorenstein graded Betti numbers graded ideal group scheme Hence Hodge Hom(X homomorphism Horikawa surface induced injective integral inverse image irreducible isomorphism lamination Lemma Let G Let H Levi factor Levi subgroup linear locally constant log abelian variety log scheme log structure manifold Math Mathematics maximal torus minimal module morphism Nagoya nilpotent element nilpotent section notation obtain pairing parabolic subgroup Proof Proposition prove pull back quotient reductive group representation resolution of singularities resp result ring root datum satisfies semisimple sheaf sheaves Shimura singularities smooth subgroup of G subgroup scheme Suppose surjective Theorem topology transversal unipotent zero