The 𝐾-theory spectrum of varieties
J Campbell - Transactions of the American Mathematical Society, 2019 - ams.org
We produce an $ E_\infty $-ring spectrum $ K (\mathbf {Var} _ {/k}) $ whose components
model the Grothendieck ring of varieties (over a field $ k $) $ K_0 (\mathbf {Var} _ {/k}) …
model the Grothendieck ring of varieties (over a field $ k $) $ K_0 (\mathbf {Var} _ {/k}) …
Real topological Hochschild homology of schemes
J Hornbostel, D Park - Journal of the Institute of Mathematics of …, 2024 - cambridge.org
REAL TOPOLOGICAL HOCHSCHILD HOMOLOGY OF SCHEMES Page 1 J. Inst. Math. Jussieu
(2024), 23(3), 1461–1518 doi:10.1017/S1474748023000178 1461 REAL TOPOLOGICAL …
(2024), 23(3), 1461–1518 doi:10.1017/S1474748023000178 1461 REAL TOPOLOGICAL …
Bi-relative algebraic K-theory and topological cyclic homology
T Geisser, L Hesselholt - arXiv preprint math/0409122, 2004 - arxiv.org
It is well-known that algebraic K-theory preserves products of rings. However, in general,
algebraic K-theory does not preserve fiber-products of rings, and bi-relative algebraic K …
algebraic K-theory does not preserve fiber-products of rings, and bi-relative algebraic K …
A K-theoretic approach to Artin maps
D Clausen - arXiv preprint arXiv:1703.07842, 2017 - arxiv.org
We define a functorial" Artin map" attached to any small $\bf {Z} $-linear stable $\infty $-
category, which in the case of perfect complexes over a global field recovers the usual Artin …
category, which in the case of perfect complexes over a global field recovers the usual Artin …
Motivic cohomology, K-theory and topological cyclic homology
T Geisser - Handbook of K-theory, 2005 - books.google.com
We give a survey on motivic cohomology, higher algebraic K-theory, and topological cyclic
homology. We concentrate on results which are relevant for applications in arithmetic …
homology. We concentrate on results which are relevant for applications in arithmetic …
On the vanishing of negative K-groups
T Geisser, L Hesselholt - Mathematische Annalen, 2010 - Springer
Mathematische Annalen Page 1 Math. Ann. (2010) 348:707–736 DOI 10.1007/s00208-010-0500-z
Mathematische Annalen On the vanishing of negative K-groups Thomas Geisser · Lars …
Mathematische Annalen On the vanishing of negative K-groups Thomas Geisser · Lars …
Motivic real topological Hochschild spectrum
D Park - arXiv preprint arXiv:2305.04150, 2023 - arxiv.org
We define real topological Hochschild homology of noetherian separated fs log schemes
with involutions. We show that real topological Hochschild homology is $(\mathbb {P} …
with involutions. We show that real topological Hochschild homology is $(\mathbb {P} …
The de Rham-Witt complex and 𝑝-adic vanishing cycles
T Geisser, L Hesselholt - Journal of the American Mathematical Society, 2006 - ams.org
We determine the structure of the reduction modulo $ p $ of the absolute de Rham-Witt
complex of a smooth scheme over a discrete valuation ring of mixed characteristic $(0, p) …
complex of a smooth scheme over a discrete valuation ring of mixed characteristic $(0, p) …
PRO CDH-DESCENT FOR CYCLIC HOMOLOGY AND-THEORY
M Morrow - Journal of the Institute of Mathematics of Jussieu, 2016 - cambridge.org
PRO CDH-DESCENT FOR CYCLIC HOMOLOGY AND K-THEORY Page 1 J. Inst. Math.
Jussieu (2016) 15(3), 539–567 doi:10.1017/S1474748014000413 c Cambridge University …
Jussieu (2016) 15(3), 539–567 doi:10.1017/S1474748014000413 c Cambridge University …
On the 𝐾-theory and topological cyclic homology of smooth schemes over a discrete valuation ring
T Geisser, L Hesselholt - Transactions of the American Mathematical …, 2006 - ams.org
ON THE K-THEORY AND TOPOLOGICAL CYCLIC HOMOLOGY OF SMOOTH SCHEMES
OVER A DISCRETE VALUATION RING Introduction In this paper, we Page 1 TRANSACTIONS …
OVER A DISCRETE VALUATION RING Introduction In this paper, we Page 1 TRANSACTIONS …