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$p$-Adic Methods in Number Theory and Algebraic Geometry
 
$p$-Adic Methods in Number Theory and Algebraic Geometry
Softcover ISBN:  978-0-8218-5145-6
Product Code:  CONM/133
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7724-1
Product Code:  CONM/133.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5145-6
eBook: ISBN:  978-0-8218-7724-1
Product Code:  CONM/133.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
$p$-Adic Methods in Number Theory and Algebraic Geometry
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$p$-Adic Methods in Number Theory and Algebraic Geometry
Softcover ISBN:  978-0-8218-5145-6
Product Code:  CONM/133
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7724-1
Product Code:  CONM/133.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5145-6
eBook ISBN:  978-0-8218-7724-1
Product Code:  CONM/133.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1331992; 241 pp
    MSC: Primary 11; 14

    Two meetings of the AMS in the fall of 1989—one at the Stevens Institute of Technology and the other at Ball State University—included Special Sessions on the role of \(p\)-adic methods in number theory and algebraic geometry. This volume grew out of these Special Sessions. Drawn from a wide area of mathematics, the articles presented here provide an excellent sampling of the broad range of trends and applications in \(p\)-adic methods.

    Readership

    Researchers and advanced graduate students working in number theory and algebraic geometry.

  • Table of Contents
     
     
    • Articles
    • Francesco Baldassarri and Bruno Chiarellotto — On Christol’s theorem. A generalization to systems of PDEs with logarithmic singularities depending upon parameters [ MR 1183967 ]
    • Francesco Baldassarri and Bruno Chiarellotto — On André’s transfer theorem [ MR 1183968 ]
    • G. Christol and B. Dwork — Differential modules of bounded spectral norm [ MR 1183969 ]
    • Richard Crew — The $p$-adic monodromy of a generic abelian scheme in characteristic $p$ [ MR 1183970 ]
    • David R. Dorman — Factorization of Drinfel′d singular moduli [ MR 1183971 ]
    • Benji Fisher — Distinctness of Kloosterman sums [ MR 1183972 ]
    • Richard M. Freije — Intersection formulas for Mumford curves [ MR 1183973 ]
    • David Goss — $L$-series of Grössencharakters of type $A_0$ for function fields [ MR 1183974 ]
    • Goro Kato — A $p$-adic cohomological method for the Weierstrass family and its zeta invariants [ MR 1183975 ]
    • Michael Larsen — Two-dimensional systems of Galois representations [ MR 1183976 ]
    • Margaret M. Robinson — Algebraic identities useful in the computation of Igusa local zeta functions [ MR 1183977 ]
    • A. Silverberg — Points of finite order on abelian varieties [ MR 1183978 ]
    • Peter F. Stiller — The arithmetic and geometry of elliptic surfaces [ MR 1183979 ]
    • P. Van Mulbregt — Torsion-points on low-dimensional abelian varieties with complex multiplication [ MR 1183980 ]
    • Marie A. Vitulli — Prime-like subsets of a commutative ring [ MR 1183981 ]
    • Da Qing Wan — Newton polygons and congruence decompositions of $L$-functions over finite fields [ MR 1183982 ]
  • 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: 1331992; 241 pp
MSC: Primary 11; 14

Two meetings of the AMS in the fall of 1989—one at the Stevens Institute of Technology and the other at Ball State University—included Special Sessions on the role of \(p\)-adic methods in number theory and algebraic geometry. This volume grew out of these Special Sessions. Drawn from a wide area of mathematics, the articles presented here provide an excellent sampling of the broad range of trends and applications in \(p\)-adic methods.

Readership

Researchers and advanced graduate students working in number theory and algebraic geometry.

  • Articles
  • Francesco Baldassarri and Bruno Chiarellotto — On Christol’s theorem. A generalization to systems of PDEs with logarithmic singularities depending upon parameters [ MR 1183967 ]
  • Francesco Baldassarri and Bruno Chiarellotto — On André’s transfer theorem [ MR 1183968 ]
  • G. Christol and B. Dwork — Differential modules of bounded spectral norm [ MR 1183969 ]
  • Richard Crew — The $p$-adic monodromy of a generic abelian scheme in characteristic $p$ [ MR 1183970 ]
  • David R. Dorman — Factorization of Drinfel′d singular moduli [ MR 1183971 ]
  • Benji Fisher — Distinctness of Kloosterman sums [ MR 1183972 ]
  • Richard M. Freije — Intersection formulas for Mumford curves [ MR 1183973 ]
  • David Goss — $L$-series of Grössencharakters of type $A_0$ for function fields [ MR 1183974 ]
  • Goro Kato — A $p$-adic cohomological method for the Weierstrass family and its zeta invariants [ MR 1183975 ]
  • Michael Larsen — Two-dimensional systems of Galois representations [ MR 1183976 ]
  • Margaret M. Robinson — Algebraic identities useful in the computation of Igusa local zeta functions [ MR 1183977 ]
  • A. Silverberg — Points of finite order on abelian varieties [ MR 1183978 ]
  • Peter F. Stiller — The arithmetic and geometry of elliptic surfaces [ MR 1183979 ]
  • P. Van Mulbregt — Torsion-points on low-dimensional abelian varieties with complex multiplication [ MR 1183980 ]
  • Marie A. Vitulli — Prime-like subsets of a commutative ring [ MR 1183981 ]
  • Da Qing Wan — Newton polygons and congruence decompositions of $L$-functions over finite fields [ MR 1183982 ]
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
Please select which format for which you are requesting permissions.