eBook ISBN:  9780821877241 
Product Code:  CONM/133.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821877241 
Product Code:  CONM/133.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 133; 1992; 241 ppMSC: 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.
ReadershipResearchers 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 — Twodimensional 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 — Torsionpoints on lowdimensional abelian varieties with complex multiplication [ MR 1183980 ]

Marie A. Vitulli — Primelike subsets of a commutative ring [ MR 1183981 ]

Da Qing Wan — Newton polygons and congruence decompositions of $L$functions over finite fields [ MR 1183982 ]


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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.
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 — Twodimensional 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 — Torsionpoints on lowdimensional abelian varieties with complex multiplication [ MR 1183980 ]

Marie A. Vitulli — Primelike subsets of a commutative ring [ MR 1183981 ]

Da Qing Wan — Newton polygons and congruence decompositions of $L$functions over finite fields [ MR 1183982 ]