The infinite base change lifting associated to an APF extension of a p-adic field

2015/09/05 by Megumi Takata, Takata, Megumi
Mathematics · #11F70 #11F80 #11S15 #11S20 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #advanced mathematical theories #math.NT #msc:11F70 #msc:11F80 #msc:11S15 #msc:11S20

paper · pdf · doi:10.48550/arxiv.1509.01684

14 pages

arxiv created 2015/09/05 · openalex publication_date 2015/09/05 · arxiv updated 2015/09/08 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

In this paper, the author proved that the base change lifting associated to a totally ramified extension of a non-archimedean local field coincides with a map coming from the close fields theory of Kazhdan under some conditions. As a corollary, we can construct a base change lifting for an APF extension of a mixed characteristic local field.

Related

• B(G) for all local and global fields
• Base change and K-theory for GL(n)
• Extensions of local fields and truncated power series
• δ-lifting and 1-dimensional analytic fields
• Lifting the field of norms