## Lecture Notes in Mathematics, Volume 155 |

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### Contents

Baily Walter L Jr Automorphic forms with integral Fourier | 6 |

Bombieri Enrico The pluricanonical map of a complex surface | 35 |

Algebraic methods in the theory of modular forms | 88 |

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### Common terms and phrases

Abbildung admissible analytic modular sheaf automorphic forms base point bidegree biholomorphic bundle canonical canonical bundle coherent analytic modular commutative compact complex manifold complex variables components composition series condition consider curve defined definition denote Desingularisation diagram differential dimension divisor domain of holomorphy element equivalent exact cohomology sequence exact sequence exists a composition Fourier coefficients Fuchsian group Fuchsian model gibt gilt hence Hermitian holomorphic function holomorphic map invariant irreducible isomorphism Kleinian group Kodaira kohärente analytische Garbe Lemma Let F linear system lokal frei Main Theorem Math Menge meromorphic functions metric modular forms non-singular open neighborhood open set Piooi Piool polynomial proof prove quotient field rational Raum result Riemann ring satisfying Satz Seiten Seminar Siegel domain singular Stein manifold strongly stable subgroup subset surjective Teichmuller The.oie.m Theorem 2.1 theory Unive.iiity universal covering University of Maryland zero