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Hyperderivatives of periods and quasi-periods for Anderson t-modules / Changningphaabi Namoijam, Matthew A. Papanikolas

By: Contributor(s): Resource type: Ressourcentyp: BuchBookLanguage: English Series: American Mathematical Society. Memoirs of the American Mathematical Society ; volume 302, number 1517 (October 2024)Publisher: Providence : American Mathematical Society, October 2024Description: v, 121 SeitenISBN:
  • 9781470470883
Subject(s): Additional physical formats: Erscheint auch als: Hyperderivatives of periods and quasi-periods for Anderson t-modules. Online-Ausgabe Providence : American Mathematical Society, 2024. 1 Online-Ressource (v, 121 Seiten)MSC: MSC: 11J93 | 33E50Summary: We investigate periods, quasi-periods, logarithms, and quasi-logarithms of Anderson t-modules, as well as their hyperderivatives. We develop a comprehensive account of how these values can be obtained through rigid analytic trivializations of abelian and A-finite t-modules. To do this we build on the exponentiation theorem of Anderson and investigate quasi-periodic extensions of t-modules through Anderson generating functions. By applying these results to prolongation t-modules of Maurischat, we integrate hyperderivatives of these values together with previous work of Brownawell and Denis in this framework.PPN: PPN: 1910923117
Holdings
Item type Home library Shelving location Call number Status
Institutsbestand Fachbibliothek Mathematik Bibliothek / frei aufgestellt Z 57 c-302.2024,1517 Nicht ausleihbar
Total holds: 0
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