5 citations · 10 across the 17 of their papers we have counts for
19 papers
The de Rham and the syntomic logarithm
Matthias Flach, Achim Krause, Baptiste Morin
We define and study an integral refinement of the inverse of the Bloch-Kato exponential map which we call the de Rham logarithm. Our main tool to analyze the de Rham logarithm is t…
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…
Pontryagin duality for varieties over -adic fields
Thomas H. Geisser, Baptiste Morin
We define cohomological complexes of locally compact abelian groups associated with varieties over -adic fields and prove a duality theorem under some assumption. Our duality ta…
On the kernel of the Brauer-Manin pairing
Thomas H. Geisser, Baptiste Morin
Let be a regular scheme, flat and proper over the ring of integers of a -adic field, with generic fiber and special fiber . We study the left kern…
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…