Geodesic
On the relationship between logarithmic TAQ and logarithmic THH
Documenta mathematica, Tome 26 (2021), pp. 1187-1236 Cet article a éte moissonné depuis la source EMS Press

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We provide a new description of logarithmic topological André-Quillen homology in terms of the indecomposables of an augmented ring spectrum. The new description allows us to interpret logarithmic TAQ as an abstract cotangent complex, and leads to a base-change formula for logarithmic topological Hochschild homology. The latter is analogous to results of Weibel-Geller for Hochschild homology of discrete rings, and of McCarthy-Minasian and Mathew for topological Hochschild homology. For example, our results imply that logarithmic THH satisfies base-change for tamely ramified extensions of discrete valuation rings.
DOI : 10.4171/dm/839
Classification : 14F10, 19D55, 55P43
Mots-clés : topological Hochschild homology, topological André-Quillen homology, logarithmic structures 
@article{10_4171_dm_839,
     author = {Tommy Lundemo},
     title = {On the relationship between logarithmic {TAQ} and logarithmic {THH}},
     journal = {Documenta mathematica},
     pages = {1187--1236},
     year = {2021},
     volume = {26},
     doi = {10.4171/dm/839},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/839/}
}
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Tommy Lundemo. On the relationship between logarithmic TAQ and logarithmic THH. Documenta mathematica, Tome 26 (2021), pp. 1187-1236. doi: 10.4171/dm/839

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