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math.KT2021
The third homology of symplectic groups and algebraic K-theory
Marco Schlichting, Husney Parvez Sarwar
We improve the homology stability range for the 3rd integral homology of symplectic groups over commutative local rings with infinite residue field. As an application, we show that…
math.KT2008
The Mayer-Vietoris principle for Grothendieck-Witt groups of schemes
Marco Schlichting
We prove localization and Zariski-Mayer-Vietoris for higher Grothendieck-Witt groups, alias hermitian -groups, of schemes admitting an ample family of line-bundles. No assumptio…