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 Cet article a éte moissonné depuis la source EMS Press

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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
Keywords: Stickelberger elements, Stark’s conjecture, Gross–Stark units, Eisenstein cocycle 
@article{JEMS_2018_20_11_a2,
     author = {Samit Dasgupta and Michael Spie{\ss}},
     title = {Partial zeta values, {Gross's} tower of fields conjecture, and {Gross{\textendash}Stark} units},
     journal = {Journal of the European Mathematical Society},
     pages = {2643--2683},
     year = {2018},
     volume = {20},
     number = {11},
     doi = {10.4171/jems/821},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/821/}
}
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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

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