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Grothendieck-Witt groups of quadrics (1601.06633v1)
Published 25 Jan 2016 in math.KT
Abstract: Let k be a commutative ring containing 1/2. In this paper, we construct certain homotopy fibration sequences for Grothendieck-Witt spectra of smooth quadric hypersurfaces over k. As an application, we compute Witt groups of smooth quadric hypersurfaces over certain kinds of bases.