An application of the almost purity theorem to the homological conjectures

• Kazuma Shimomoto ^[1]
  1. [1] Nihon University

     Nihon University

     Japón

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 220, Nº 2 (February 2016), 2016, págs. 621-632
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.07.008
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• Resumen

  • The aim of this article is to establish the existence of a big Cohen–Macaulay algebra over a local ring in mixed characteristic p>0 in the case where the local ring is finite étale over a regular local subring after inverting p. The main result follows from the so-called almost purity theorem proved by Davis and Kedlaya.