Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units

Dasgupta S, Spieß M (2018)
Journal of the European Mathematical Society (JEMS) 20(11): 2643-2683.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Dasgupta, Samit; Spieß, MichaelUniBi
Abstract / Bemerkung
We prove a conjecture of Gross regarding the "order of vanishing" of Stickelberger elements relative to an abelian tower of fields and give a cohomological construction of the conjectural Gross-Stark units. This is achieved by introducing an integral version of the Eisenstein cocycle.
Stichworte
Stickelberger elements; Stark's conjecture; Gross-Stark units; Eisenstein cocycle
Erscheinungsjahr
2018
Zeitschriftentitel
Journal of the European Mathematical Society (JEMS)
Band
20
Ausgabe
11
Seite(n)
2643-2683
ISSN
1435-9855
Page URI
https://pub.uni-bielefeld.de/record/2932015

Zitieren

Dasgupta S, Spieß M. Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units. Journal of the European Mathematical Society (JEMS) . 2018;20(11):2643-2683.
Dasgupta, S., & Spieß, M. (2018). Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units. Journal of the European Mathematical Society (JEMS) , 20(11), 2643-2683. doi:10.4171/JEMS/821
Dasgupta, S., and Spieß, M. (2018). Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units. Journal of the European Mathematical Society (JEMS) 20, 2643-2683.
Dasgupta, S., & Spieß, M., 2018. Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units. Journal of the European Mathematical Society (JEMS) , 20(11), p 2643-2683.
S. Dasgupta and M. Spieß, “Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units”, Journal of the European Mathematical Society (JEMS) , vol. 20, 2018, pp. 2643-2683.
Dasgupta, S., Spieß, M.: Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units. Journal of the European Mathematical Society (JEMS) . 20, 2643-2683 (2018).
Dasgupta, Samit, and Spieß, Michael. “Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units”. Journal of the European Mathematical Society (JEMS) 20.11 (2018): 2643-2683.