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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Cambridge :
Cambridge University Press,
2007.
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Colección: | Cambridge tracts in mathematics ;
172. |
Temas: | |
Acceso en línea: | Texto completo |
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. |
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Descripción Física: | 1 online resource (xv, 319 pages) |
Bibliografía: | Includes bibliographical references and index. |
ISBN: | 9780511342554 0511342551 9780511340918 0511340915 9780511543128 0511543123 1107182042 9781107182042 1281085138 9781281085139 9786611085131 6611085130 0511342020 9780511342028 0511341490 9780511341496 |