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Higher Hida theory and p-adic L-functions for GSp(4)
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Loeffler, David, Pilloni, V., Skinner , C. and Zerbes, S. L. (2021) Higher Hida theory and p-adic L-functions for GSp(4). Duke Mathematical Journal, 170 (18). pp. 4033-4121. doi:10.1215/00127094-2021-0049 ISSN 0012-7094.
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Official URL: https://doi.org/10.1215/00127094-2021-0049
Abstract
We use the "higher Hida theory" recently introduced by the second author to p-adically interpolate periods of non-holomorphic automorphic forms for GSp(4), contributing to coherent cohomology of Siegel threefolds in positive degrees. We apply this new method to construct p-adic L-functions associated to the degree 4 (spin) L-function of automorphic representations of GSp(4), and the degree 8 L-function of GSp(4) x GL(2).
| Item Type: | Journal Article | ||||||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
| Library of Congress Subject Headings (LCSH): | p-adic analysis, Holomorphic functions, Automorphic forms, Cohomology operations, Threefolds (Algebraic geometry) | ||||||||||||
| Journal or Publication Title: | Duke Mathematical Journal | ||||||||||||
| Publisher: | Duke University Press | ||||||||||||
| ISSN: | 0012-7094 | ||||||||||||
| Official Date: | 1 December 2021 | ||||||||||||
| Dates: |
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| Volume: | 170 | ||||||||||||
| Number: | 18 | ||||||||||||
| Page Range: | pp. 4033-4121 | ||||||||||||
| DOI: | 10.1215/00127094-2021-0049 | ||||||||||||
| Status: | Peer Reviewed | ||||||||||||
| Publication Status: | Published | ||||||||||||
| Reuse Statement (publisher, data, author rights): | Copyright © 2021 Duke University Press | ||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
| Date of first compliant deposit: | 25 January 2021 | ||||||||||||
| Date of first compliant Open Access: | 23 November 2021 | ||||||||||||
| RIOXX Funder/Project Grant: |
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