## Algebra, Arithmetic, and Geometry: Volume I: In Honor of Yu. I. ManinAlgebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of invited expository articles and new developments extending from Yuri I. Manin’s outstanding contributions to algebra, algebraic geometry, number theory, algorithmic complexity, noncommutative geometry and mathematical physics. Among Manin’s numerous achievements are the proof of the functional analogue of the Mordell conjecture, the theory of Gauss--Manin connection, the proof with V. Iskovskikh of the nonrationality of smooth quartic threefolds, the theory of $p$-adic automorphic functions, and the theory of quantum computations. Contributors in the first volume include: K. Behrend V.G. Berkovich J.-B. Bost P. Bressler D. Calaque J.F. Carlson A. Chambert-Loir E. Colombo A. Connes C. Consani A. Dabrowski C. Deninger I.V. Dolgachev S. K. Donaldson T. Ekedahl A.-S. Elsenhans B. Enriquez P. Etingof B. Fantechi V.V. Fock E.M. Friedlander B. van Geemen G. van der Geer E. Getzler A.B. Goncharov V.A. Iskovskikh J. Jahnel M. Kapranov E. Looijenga M. Marcolli B. Tsygan E. Vasserot M. Wodzicki |

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### Contents

1 | |

A NonArchimedean Interpretation of the Weight Zero Subspaces of Limit Mixed Hodge Structures | 48 |

Analytic Curves in Algebraic Varieties over Number Fields | 69 |

RiemannRoch for Real Varieties | 125 |

Universal KZB Equations The Elliptic Case | 165 |

Exact Category of Modules of Constant Jordan Type | 267 |

Del Pezzo Moduli via Root Systems | 291 |

The Weil Proof and the Geometry of the Adeles Class Space | 338 |

padic Entropy and a padic FugledeKadison Determinant | 422 |

Finite Subgroups of the Plane Cremona Group | 443 |

Lie Algebra Theory without Algebra | 549 |

Cycle Classes of the EO Stratification on the Moduliof Abelian Varieties | 567 |

Experiments with General Cubic Surfaces | 637 |

Cluster Ensembles Quantization and the Dilogarithm IIThe Intertwiner | 655 |

Operads Revisited | 674 |

Elliptic Curves with Large Analytic Order of E | 407 |

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Algebra, Arithmetic, and Geometry: Volume I: In Honor of Yu. I. Manin Yuri Tschinkel,Yuri Zarhin No preview available - 2010 |