Relative K0, annihilators, Fitting ideals and the Stickelberger phenomena
Victor Snaith
Abstract
When G is abelian and l is a prime we show how elements of the relative K-group K0( Zl[G], Ql) give rise to annihilator/Fitting ideal relations of certain associated Z[G]-modules. Examples of this phenomenon are ubiquitous. Particularly, we give examples in which G is the Galois group of an extension of global fields and the resulting annihilator/Fitting ideal relation is closely connected to Stickelberger's Theorem and to the conjectures Coates-Sinnott and Brumer.
Create a lesson
Related papers
On exponential sums with multiplicative coefficients
Haozhe Gou
Automorphic Dirac Operators and an Analogue of the Quantum Harmonic Oscillator on Γ H
Marcella Manivel
Variation of Shafarevich-Tate groups in Hida families
Enrico Da Ronche, Matteo Longo, Stefano Vigni et al.
The discrete second moment of the Riemann zeta-function along powers of Gram points
Marius Dundulis, Ramūnas Garunkštis, Antanas Laurinčikas et al.
Logarithmic exponential sums with multiplicative coefficients
Haozhe Gou
Ekedahl-Oort strata with a superspecial factor in unitary Shimura varieties
Emerald Andrews, Deewang Bhamidipati, Heidi Goodson et al.