6 citations · 11 across the 9 of their papers we have counts for
10 papers
Regulator Constants and Cohomology
Luca Caputo
We show how regulator constants of a finitely generated -module can be related to -cohomology, where is a finite group. We then derive consequences of such re…
An algebraic proof of Brauer's class number formula
Luca Caputo
We show how, starting from the Tate exact sequence for units of Ritter and Weiss, one can obtain an algebraic proof of Brauer's class number formula, using the formalism of regulat…
On the square root of the inverse different
A. Agboola, D. Burns, L. Caputo +1
Let N/F be a finite, normal extension of number fields with Galois group G. Suppose that N/F is weakly ramified, and that the square root A(N/F) of the inverse different of N.F is…
Class number formula for dihedral extensions
Luca Caputo, Filippo A. E. Nuccio
We give an algebraic proof of a class number formula for dihedral extensions of number fields of degree , where is any odd integer. Our formula expresses the ratio of class…
Gauss sums, Jacobi sums and cyclotomic units related to torsion Galois modules
Luca Caputo, Stéphane Vinatier
Let be a finite group and let be a tamely ramified -Galois extension of number fields. We show how Stickelberger's factorization of Gauss sums can be used to determine…
On the splitting of the exact sequence relating the wild and tame kernels
Luca Caputo, Abbas Movahhedi
Let k be a number field. For an odd prime p and an integer i>1, the i-th étale wild kernel is contained in the second cohomology group of o'_k with coefficients in Zp(i), where o'_…