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Courbes nodales et ramification sauvage virtuelle

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Abstract

Let S be the spectrum of a discrete valuation ring of residue characteristic p>0. Let Z be a scheme separated and of finite type over S, and denote by K c (Z,) (l≠p) the Grothendieck group of -constructible sheaves on the etale site of Z. In this article, we introduce the subgroup of virtual sheaves with virtual wild ramification zero, and we prove that this subgroup is preserved by the formalism of six operations “à la Grothendieck”.

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  1. Graduate School of Mathematics, Nagoya University, Chikusa-Ku, 464-8602, Japan

    Isabelle Vidal

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  1. Isabelle Vidal
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Correspondence to Isabelle Vidal.

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Vidal, I. Courbes nodales et ramification sauvage virtuelle. manuscripta math. 118, 43–70 (2005). https://doi.org/10.1007/s00229-005-0578-x

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  • DOI: https://doi.org/10.1007/s00229-005-0578-x

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