Results 11 to 20 of about 56 (36)
Characterization of global fields by Dirichlet L-series [PDF]
, 2019 We prove that two global fields are isomorphic if and only if there is an isomorphism of groups of Dirichlet characters that preserves L ...
BH Gross +11 more
core +3 more sources
La formule des traces tordue d'après le Friday Morning Seminar [PDF]
, 2012 International audienceThe trace formula for an arbitrary connected reductive group over a number field is due to James Arthur. The twisted case was the subject of the Friday Morning Seminar at the Institute for Advanced Study in Princeton during the ...
Labesse, Jean-Pierre +1 more
core +4 more sources
Poitou-Tate without restrictions on the order
, 2015 The Poitou-Tate sequence relates Galois cohomology with restricted ramification of a finite Galois module $M$ over a global field to that of the dual module under the assumption that $\#M$ is a unit away from the allowed ramification set.
Cesnavicius, Kestutis
core +1 more source
Two-dimensional Id\`eles with Cycle Module Coefficients
, 2014 We give a theory of id\`eles with coefficients for smooth surfaces over a field. It is an analogue of Beilinson/Huber's theory of higher ad\`eles, but handling cycle module sheaves instead of quasi-coherent ones.
Beilinson +22 more
core +1 more source
Hecke algebra isomorphisms and adelic points on algebraic groups [PDF]
, 2015 Let $G$ denote a linear algebraic group over $\mathbf{Q}$ and $K$ and $L$ two number fields. Assume that there is a group isomorphism of points on $G$ over the finite adeles of $K$ and $L$, respectively.
Cornelissen, Gunther +1 more
core
Orbit-cone correspondence for the proalgebraic completion of normal toric varieties [PDF]
summary:We prove that there is an orbit-cone correspondence for the proalgebraic completion of normal toric varieties, which is analogous to the classical orbit-cone correspondence for toric ...
Hernandez-Mada, Genaro +1 more
core +1 more source
Riemann-Roch for the ring $\mathbb Z$
, 2023 We show that by working over the absolute base $\mathbb S$ (the categorical version of the sphere spectrum) instead of $\mathbb S[\pm 1]$ improves our previous Riemann-Roch formula for $\overline{{\rm Spec\,}\mathbb Z}$.
Connes, Alain, Consani, Caterina
core
Cuntz-Li algebras from a-adic numbers [PDF]
, 2015 The a-adic numbers are those groups that arise as Hausdorff completions of noncyclic subgroups of the rational numbers. We give a crossed product construction of (stabilized) Cuntz-Li algebras coming from the a-adic numbers and investigate the structure ...
Kaliszewski, S. +2 more
core
A note on small generators of number fields, II
, 2023 Let $K$ be an algebraic number field and $H$ the absolute Weil height. Write $c_K$ for a certain positive constant which is an invariant of $K$. We consider the question: does $K$ contain an algebraic integer $\alpha$ such that both $K = \mathbb{Q ...
Akhtari, Shabnam +2 more
core
On the C*-algebra associated with the full adele ring of a number field
, 2022 The multiplicative group of a number field acts by multiplication on the full adele ring of the field. Generalising a theorem of Laca and Raeburn, we explicitly describe the primitive ideal space of the crossed product C*-algebra associated with this ...
Bruce, Chris, Takeishi, Takuya
core