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Balasubramanyam, Baskar
- p-Adic Asai Transfer
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Authors
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1 Department of Mathematics, Indian Institute of Science Education and Research Pune, Dr. Homi Bhabha Road, Pashan, Pune 411 008, IN
2 Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, IN
1 Department of Mathematics, Indian Institute of Science Education and Research Pune, Dr. Homi Bhabha Road, Pashan, Pune 411 008, IN
2 Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, IN
Source
Journal of the Ramanujan Mathematical Society, Vol 34, No 3 (2019), Pagination: 305-324Abstract
Let K/ℚ be a real quadratic field. Given an automorphic representation π for GL2/K, let As±(π) denote the plus/minus Asai transfer of π to an automorphic representation for GL4/ℚ. In this paper, we construct a rigid analytic map from a subvariety of the universal eigenvariety of GL2/K to an eigenvariety of GL4/ℚ, which at nice classical points interpolate this Asai transfer.
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