Search Results - "Schlichting, Marco"

Cyclic Homology, cdh-Cohomology and Negative K-Theory by Cortiñas, G., Haesemeyer, C., Schlichting, M., Weibel, C.

“…We prove a blow-up formula for cyclic homology which we use to show that infinitesimal K-theory satisfies cdh-descent. Combining that result with some…”
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Euler class groups and the homology of elementary and special linear groups by Schlichting, Marco

“…We improve homology stability ranges for elementary and special linear groups over rings with many units. Our result implies stability for unstable Quillen…”
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Corrigendum to “Symplectic and orthogonal K -groups of the integers” by Schlichting, Marco

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On the presentation of the Grothendieck–Witt group of symmetric bilinear forms over local rings by Rogers, Robert, Schlichting, Marco

“…We prove a chain lemma for inner product spaces over commutative local rings R with residue field other than F 2 and use this to show that the usual…”
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The Mayer-Vietoris principle for Grothendieck-Witt groups of schemes by Schlichting, Marco

“…We prove localization and Zariski-Mayer-Vietoris for higher Gro-thendieck-Witt groups, alias hermitian K -groups, of schemes admitting an ample family of…”
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L‐theory of C∗$C^$‐algebras by Land, Markus, Nikolaus, Thomas, Schlichting, Marco

“…Abstract We establish a formula for the L‐theory spectrum of real ‐algebras from which we deduce a presentation of the L‐groups in terms of the topological…”
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Grothendieck–Witt groups of some singular schemes by Karoubi, Max, Schlichting, Marco, Weibel, Charles

“…We establish some structural results for the Witt and Grothendieck–Witt groups of schemes over Z[1/2], including homotopy invariance for Witt groups and a…”
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Negative K-theory of derived categories by Schlichting, Marco

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Higher K-theory of forms II. From exact categories to chain complexes by Schlichting, Marco

“…We prove basic statements about the Hermitian K-theory of exact form categories with weak equivalences. Notably, we extend a quadratic functor with values in…”
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The Witt group of real algebraic varieties by Karoubi, Max, Schlichting, Marco, Weibel, Charles

“…The purpose of this paper is to compare the algebraic Witt group W(V) of quadratic forms for an algebraic variety V over R with a new topological invariant,…”
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Geometric models for higher Grothendieck–Witt groups in $$\mathbb {A}^1$$ A 1 -homotopy theory by Schlichting, Marco, Tripathi, Girja S.

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Geometric models for higher Grothendieck–Witt groups in A1-homotopy theory by Schlichting, Marco, Tripathi, Girja S.

“…We show that the higher Grothendieck–Witt groups, a.k.a. algebraic hermitian K -groups, are represented by an infinite orthogonal Grassmannian in the A 1…”
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On the Homology stability range for symplectic groups by Schlichting, Marco

“…We improve, by a factor of 2, known homology stability ranges for the integral homology of symplectic groups over commutative local rings with infinite residue…”
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Higher $K$-theory of forms III: from chain complexes to derived categories by Marlowe, Daniel, Schlichting, Marco

“…We exhibit a canonical equivalence between the hermitian $K$-theory (alias Grothendieck-Witt) spectrum of an exact form category and that of its derived…”
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Idempotent Completion of Triangulated Categories by Balmer, Paul, Schlichting, Marco

“…We show that the idempotent completion of a triangulated category has a natural structure of a triangulated category. The idempotent completion of the bounded…”
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On the presentation of the Grothendieck-Witt group of symmetric bilinear forms over local rings by Rogers, Robert, Schlichting, Marco

“…We prove a Chain Lemma for inner product spaces over commutative local rings R with residue field other than F2 and use this to show that the usual…”
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A note on K-theory and triangulated categories by Schlichting, Marco

“…We provide an example of two closed model categories having equivalent homotopy categories but different Waldhausen K-theories. We also show that there cannot…”
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Delooping the K-theory of exact categories by Schlichting, Marco

“…We generalize, from additive categories to exact categories, the concept of “Karoubi filtration” and the associated homotopy fibration in algebraic K-theory…”
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Homological stability for $O_{n,n}$ over a local ring with infinite residue field by Schlichting, Marco, Sood, Sunny

“…Let $R$ be a commutative local ring with infinite residue field such that $2 \in R^{*}$. We prove that the natural homomorphism $H_{k}(O_{n,n}(R) ; \mathbb{Z})…”
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The third homology of symplectic groups and algebraic K-theory by Schlichting, Marco, Sarwar, Husney Parvez

“…We improve the homology stability range for the 3rd integral homology of symplectic groups over commutative local rings with infinite residue field. As an…”
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