Geometric Aspects of Dwork Theory, Volume 1

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Alan Adolphson, Francois Loeser, Nicholas Katz
Walter de Gruyter, 2004 - Mathematics - 1129 pages
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This two-volume book collects the lectures given during the three months cycle of lectures held in Northern Italy between May and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998).

It presents a wide-ranging overview of some of the most active areas of contemporary research in arithmetic algebraic geometry, with special emphasis on the geometric applications of thep-adic analytic techniques originating in Dwork's work, their connection to various recent cohomology theories and to modular forms.

The two volumes contain both important new research and illuminating survey articles written by leading experts in the field. The book willprovide an indispensable resource for all those wishing to approach the frontiers of research in arithmetic algebraic geometry.

 

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Contents

Alan Adolphson and Steven Sperber
43
Mladen Dimitrov and Jacques Tilouine
111
Fabrizio Andreatta and Eyal Z Goren
113
Francesco Baldassarri and Pierre Berthelot
177
Introduction to padic qdifference equations 615
243
Francesco Baldassarri and Andrea DAgnolo
245
Vladimir G Berkovich
293
JeanBenoît Bost
372
Algebraicity criteria for smooth formal germs of subvarieties in algebraic varieties
398
Gilles Christol
419
Robert F Coleman and William A Stein
437
Richard Crew
451
Tomohide Terasoma
462
Jan Denefand François Loeser
509
Mladen Dimitrov
527
Copyright

The canonical seminorm attached to a germ of analytic curve in a complex
388

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