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Rigid cohomology /

Dating back to work of Berthelot, rigid cohomology appeared as a common generalization of Monsky-Washnitzer cohomology and crystalline cohomology. It is a p-adic Weil cohomology suitable for computing Zeta and L-functions for algebraic varieties on finite fields. Moreover, it is effective, in the se...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Le Stum, Bernard
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2007.
Colección:Cambridge tracts in mathematics ; 172.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:Dating back to work of Berthelot, rigid cohomology appeared as a common generalization of Monsky-Washnitzer cohomology and crystalline cohomology. It is a p-adic Weil cohomology suitable for computing Zeta and L-functions for algebraic varieties on finite fields. Moreover, it is effective, in the sense that it gives algorithms to compute the number of rational points of such varieties. This is the first book to give a complete treatment of the theory, from full discussion of all the basics to descriptions of the very latest developments. Results and proofs are included that are not available elsewhere, local computations are explained, and many worked examples are given. This accessible tract will be of interest to researchers working in arithmetic geometry, p-adic cohomology theory, and related cryptographic areas.
Descripción Física:1 online resource (xv, 319 pages)
Bibliografía:Includes bibliographical references and index.
ISBN:9780511342554
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0511543123
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9781107182042
1281085138
9781281085139
9786611085131
6611085130
0511342020
9780511342028
0511341490
9780511341496