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Current Trends in Arithmetical Algebraic Geometry
 
Edited by: Kenneth A. Ribet
Current Trends in Arithmetical Algebraic Geometry
eBook ISBN:  978-0-8218-3385-8
Product Code:  CONM/67.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Current Trends in Arithmetical Algebraic Geometry
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Current Trends in Arithmetical Algebraic Geometry
Edited by: Kenneth A. Ribet
eBook ISBN:  978-0-8218-3385-8
Product Code:  CONM/67.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 671987; 293 pp
    MSC: Primary 14

    This book contains papers presented at the AMS-IMS-SIAM Joint Summer Research Conference on Current Trends in Arithmetical Algebraic Geometry, held in August 1985 at Humboldt State University in Arcata, California. The conference focused on hyperbolic geometry, Arakélov theory, and connections between étale cohomology and crystalline cohomology. The book is accessible to both graduate students and mathematicians interested in current topics in arithmetical geometry, particularly those readers in neighboring fields who wish to acquire an overview of some topics in which research is now intensely active. Some of the introductory papers will be of interest to the nonspecialists, while others are directed at researchers and advanced graduate students familiar with the area. Portions of this book are likely to become fundamental references and will be of permanent value to researchers.

  • Table of Contents
     
     
    • Articles
    • A. Beĭlinson — Height pairing between algebraic cycles [ MR 902590 ]
    • Pierre Deligne and Dale Husemoller — Survey of Drinfel′d modules [ MR 902591 ]
    • P. Deligne — Le déterminant de la cohomologie [ MR 902592 ]
    • Jean-Marc Fontaine and William Messing — $p$-adic periods and $p$-adic étale cohomology [ MR 902593 ]
    • Henri Gillet — An introduction to higher-dimensional Arakelov theory [ MR 902594 ]
    • Serge Lang — Diophantine problems in complex hyperbolic analysis [ MR 902595 ]
    • Ron Livné — Cubic exponential sums and Galois representations [ MR 902596 ]
    • J.-P. Serre — Lettre à J.-F. Mestre [ MR 902597 ]
    • Joseph H. Silverman — A survey of the theory of height functions [ MR 902598 ]
    • Lucien Szpiro — Présentation de la théorie d’Arakélov [ MR 902599 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 671987; 293 pp
MSC: Primary 14

This book contains papers presented at the AMS-IMS-SIAM Joint Summer Research Conference on Current Trends in Arithmetical Algebraic Geometry, held in August 1985 at Humboldt State University in Arcata, California. The conference focused on hyperbolic geometry, Arakélov theory, and connections between étale cohomology and crystalline cohomology. The book is accessible to both graduate students and mathematicians interested in current topics in arithmetical geometry, particularly those readers in neighboring fields who wish to acquire an overview of some topics in which research is now intensely active. Some of the introductory papers will be of interest to the nonspecialists, while others are directed at researchers and advanced graduate students familiar with the area. Portions of this book are likely to become fundamental references and will be of permanent value to researchers.

  • Articles
  • A. Beĭlinson — Height pairing between algebraic cycles [ MR 902590 ]
  • Pierre Deligne and Dale Husemoller — Survey of Drinfel′d modules [ MR 902591 ]
  • P. Deligne — Le déterminant de la cohomologie [ MR 902592 ]
  • Jean-Marc Fontaine and William Messing — $p$-adic periods and $p$-adic étale cohomology [ MR 902593 ]
  • Henri Gillet — An introduction to higher-dimensional Arakelov theory [ MR 902594 ]
  • Serge Lang — Diophantine problems in complex hyperbolic analysis [ MR 902595 ]
  • Ron Livné — Cubic exponential sums and Galois representations [ MR 902596 ]
  • J.-P. Serre — Lettre à J.-F. Mestre [ MR 902597 ]
  • Joseph H. Silverman — A survey of the theory of height functions [ MR 902598 ]
  • Lucien Szpiro — Présentation de la théorie d’Arakélov [ MR 902599 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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