Geodesic
Partial zeta values, Gross's tower of fields conjecture, and Gross–Stark units
Journal of the European Mathematical Society, Tome 20 (2018) no. 11, pp. 2643-2683.

Voir la notice de l'article provenant de la source EMS Press

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.
DOI : 10.4171/jems/821
Classification : 11-XX
Mots-clés : Stickelberger elements, Stark’s conjecture, Gross–Stark units, Eisenstein cocycle 
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     title = {Partial zeta values, {Gross's} tower of fields conjecture, and {Gross{\textendash}Stark} units},
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Samit Dasgupta; Michael Spieß. Partial zeta values, Gross's tower of fields conjecture, and Gross–Stark units. Journal of the European Mathematical Society, Tome 20 (2018) no. 11, pp. 2643-2683. doi : 10.4171/jems/821. https://geodesic-test.mathdoc.fr/articles/10.4171/jems/821/

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