AbstractThe purpose of this paper is to introduce and investigate a conjecture about cyclotomic units made by Robert Coleman. The conjecture is a characterization of Euler Sytems of Kolyvagin in the case of number field. We show that Euler Systems are almost cyclotomic units
AbstractIn connection with a question about matrix periods, it proved necessary to discuss the degre...
AbstractFor units of any Galois number field, we study the relations between the units being global ...
AbstractLet p be the characteristic of the finite field GF(q), and let e be a divisor of q−1, e≥3. W...
AbstractThe purpose of this paper is to introduce and investigate a conjecture about cyclotomic unit...
International audienceLet $F$ be a number field, abelian over the rational field, and fix a odd prim...
International audienceLet $F$ be a number field, abelian over the rational field, and fix a odd prim...
Let $n \geq 1$ be an odd integer. We construct an anticyclotomic Euler system for certain cuspidal a...
Euler systems are certain compatible families of cohomology classes, which play a key role in studyi...
In this paper, the construction of Euler systems of cyclotomic units in a general global function fi...
AbstractA unit index-class number formula is proven for “cyclotomic function fields” in analogy with...
AbstractWe present certain norm-compatible systems in K2 of function fields of some CM elliptic curv...
One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry i...
International audienceFor an abelian totally real number field $F$ and an odd prime number $p$ which...
AbstractAs remarked by Mazur and Rubin [B. Mazur, K. Rubin, Kolyvagin systems, Mem. Amer. Math. Soc....
International audienceFor an abelian totally real number field $F$ and an odd prime number $p$ which...
AbstractIn connection with a question about matrix periods, it proved necessary to discuss the degre...
AbstractFor units of any Galois number field, we study the relations between the units being global ...
AbstractLet p be the characteristic of the finite field GF(q), and let e be a divisor of q−1, e≥3. W...
AbstractThe purpose of this paper is to introduce and investigate a conjecture about cyclotomic unit...
International audienceLet $F$ be a number field, abelian over the rational field, and fix a odd prim...
International audienceLet $F$ be a number field, abelian over the rational field, and fix a odd prim...
Let $n \geq 1$ be an odd integer. We construct an anticyclotomic Euler system for certain cuspidal a...
Euler systems are certain compatible families of cohomology classes, which play a key role in studyi...
In this paper, the construction of Euler systems of cyclotomic units in a general global function fi...
AbstractA unit index-class number formula is proven for “cyclotomic function fields” in analogy with...
AbstractWe present certain norm-compatible systems in K2 of function fields of some CM elliptic curv...
One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry i...
International audienceFor an abelian totally real number field $F$ and an odd prime number $p$ which...
AbstractAs remarked by Mazur and Rubin [B. Mazur, K. Rubin, Kolyvagin systems, Mem. Amer. Math. Soc....
International audienceFor an abelian totally real number field $F$ and an odd prime number $p$ which...
AbstractIn connection with a question about matrix periods, it proved necessary to discuss the degre...
AbstractFor units of any Galois number field, we study the relations between the units being global ...
AbstractLet p be the characteristic of the finite field GF(q), and let e be a divisor of q−1, e≥3. W...