## Sūgaku Expositions: A Translation of Sūgaku, Volume 1 |

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### Contents

Kasahara Yuji Point process and its application to limit theorems 239 | 15 |

Ono Takashi Algebraic groups and number theory 95 | 59 |

Shiga Hironori On the K3 modular functions 195 | 113 |

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### Common terms and phrases

Abelian extensions algebraic groups algebraic number fields Amer analytic arithmetic automorphism birational called CK metric class field theory class number classification cohomology compact Kahler complex manifold condition convergence Corollary curvature cusp defined deformation denote diffeomorphism Differential Geom dimension dimensional divisor domain equation equivalent Example exists extremal rays Fano 3-folds fiber finite formula Galois genus geodesic geometry harmonic mappings Hence holomorphic function holomorphic mapping induced irreducible isomorphic K3 surface Kahler manifolds line bundle Math minimal modular function moduli space monoidal transformation Ms(v NE(X negatively curved manifolds Newton's method nonsingular projective obtained point process polynomial principal ideal theorem Proc projective variety proof Proposition pseudoconvex quadratic quotient rational resp Riemannian manifold satisfies sequence sheaf singular smooth stable subgroup submanifold subset Sugaku symplectic manifolds symplectic structure TNP-group Tokyo topology Univ variables vector bundles weakly