On the L-invariant of the adjoint of a weight one modular form
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hdl:2117/365339
Tipus de documentArticle
Data publicació2021-01-01
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Abstract
The purpose of this article is proving the equality of two natural L -invariants attached to the adjoint representation of a weight one cusp form, each defined by purely analytic, respectively, algebraic means. The proof departs from Greenberg's definition of the algebraic L -invariant as a universal norm of a canonical Z¿ -extension of Q¿ associated to the representation. We relate it to a certain 2×2 regulator of ¿ -adic logarithms of global units by means of class field theory, which we then show to be equal to the analytic L -invariant computed in Rivero and Rotger [J. Eur. Math. Soc., to appear].
Descripció
This is the accepted version of the following article: Roset, M.; Rotger, V.; Vatsal, V. On the L-invariant of the adjoint of a weight one modular form. "Journal of the London Mathematical Society", 1 Gener 2021, vol. 104, núm. 1, p. 206-232. , which has been published in final form at https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/jlms.12428. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited."
CitacióRoset, M.; Rotger, V.; Vatsal, V. On the L-invariant of the adjoint of a weight one modular form. "Journal of the London Mathematical Society", 1 Gener 2021, vol. 104, núm. 1, p. 206-232.
ISSN1469-7750
Versió de l'editorhttps://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/jlms.12428
Col·leccions
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RosRotVat_finalversionJLMS.pdf | 502,0Kb | Accés restringit |