Fe b 20 06 On l-independence for the étale cohomology of rigid spaces over local fields

  • Yoichi Mieda
  • Published 2006
We investigate the action of the Weil group on the compactly supported l-adic étale cohomology groups of rigid spaces over a local field. We prove that the alternating sum of the traces of the action is an integer and is independent of l when either the rigid space is smooth or the characteristic of the base field is equal to 0. We modify the argument of T… (More)