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BETTI NUMBER ESTIMATES IN $p$ -ADIC COHOMOLOGY

Abstract

In the framework of Berthelot’s theory of arithmetic ${\mathcal{D}}$ -modules, we prove the $p$ -adic analogue of Betti number estimates and we give some standard applications.

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Journal of the Institute of Mathematics of Jussieu
  • ISSN: 1474-7480
  • EISSN: 1475-3030
  • URL: /core/journals/journal-of-the-institute-of-mathematics-of-jussieu
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