Splitting of Hermitian Forms over Group Rings.
Stabilité algébrique et topologies hilbertiennes
Stability of Arakelov bundles and tensor products without global sections.
Stabilization in non-abelian Iwasawa theory
Let K/k be a ℤₚ-extension of a number field k, and denote by kₙ its layers. We prove some stabilization properties for the orders and the p-ranks of the higher Iwasawa modules arising from the lower central series of the Galois group of the maximal unramified pro-p-extension of K (resp. of the kₙ).
Stable reduction of Fermat curves and Jacobi sum Hecke characters.
Stable Trace Formula: Elliptic Singular Terms.
Standard relations of multiple polylogarithm values at roots of unity.
Stark units and Kolyvagin's "Euler systems".
Stark's conjecture in multi-quadratic extensions, revisited
Stark’s conjectures connect special units in number fields with special values of -functions attached to these fields. We consider the fundamental equality of Stark’s refined conjecture for the case of an abelian Galois group, and prove it when this group has exponent . For biquadratic extensions and most others, we prove more, establishing the conjecture in full.
Stark's conjectures and Hilbert's twelfth problem.
Steinitz classes and discriminant counting
Steinitz classes of a nonabelian extension of degree
Steinitz classes of central simple algebras
Steinitz classes of cyclic extensions of prime degree.
Steinitz classes of nonabelian extensions of degree p³
Steinitz classes of some abelian and nonabelian extensions of even degree
The Steinitz class of a number field extension is an ideal class in the ring of integers of , which, together with the degree of the extension determines the -module structure of . We denote by the set of classes which are Steinitz classes of a tamely ramified -extension of . We will say that those classes are realizable for the group ; it is conjectured that the set of realizable classes is always a group.In this paper we will develop some of the ideas contained in [7] to obtain some...
Steinitz classes of tamely ramified nonabelian extensions of odd prime power order
Stickelberger elements in function fields
Stickelberger ideal and signature of circular units.
Stickelberger ideal of a compositum of a real bicyclic field and a quadratic imaginary field