5 papers · 1 filter
On Integral Class field theory for varieties over -adic fields
Thomas H. Geisser, Baptiste Morin
Let be a finite extension of the -adic numbers with ring of integers , a regular scheme, proper, flat, and geometrically irreducible…
Topological Hochschild homology and Zeta-values
Baptiste Morin
Using work of Antieau and Bhatt-Morrow-Scholze, we define a filtration on topological Hochschild homology and its variants and of quasi-lci rings with bounded torsion,…
Compatibility of Special value conjectures with the functional equation of Zeta functions
Matthias Flach, Baptiste Morin
We prove that the special value conjecture for the Zeta function of a proper, regular arithmetic scheme X that we formulated in our previous article [8] is compatible with the func…
On the trace forms of Galois algebras
Philippe Cassou-Noguès, Ted Chinburg, Baptiste Morin +1
We study the trace form of -Galois algebras when is a finite group and is a field of characteristic different from . We introduce in this paper the catego…
On the Weil-étale topos of regular arithmetic schemes
Matthias Flach, Baptiste Morin
We define and study a Weil-étale topos for any regular, proper scheme over $\Spec(Z)$ which has some of the properties suggested by Lichtenbaum for such a topos. In particular,…