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1 results

  • Fonctions L associées aux $\mathcal{D}$-modules arithmétiques. Cas des courbes

  • Daniel Caro
  • Journal:
    Compositio Mathematica / Volume 142 / Issue 1 / January 2006
    Published online by Cambridge University Press:
    13 January 2006, pp. 169-206
    Print publication:
    January 2006
    • Article
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  • We prove that holonomic arithmetical ${\mathcal{D}}$-modules over curves have finite fibers. We also define L-functions associated with arithmetical ${\mathcal{D}}$-modules and, when the scheme is a curve, we show a cohomological formula. Furthermore, we prove that F-isocrystals over curves are holonomic.