Zobrazeno 1 - 10
of 319
pro vyhledávání: '"Morrow, Matthew P"'
Autor:
Elmanto, Elden, Morrow, Matthew
We construct a theory of motivic cohomology for quasi-compact, quasi-separated schemes of equal characteristic, which is related to non-connective algebraic $K$-theory via an Atiyah--Hirzebruch spectral sequence, and to \'etale cohomology in the rang
Externí odkaz:
http://arxiv.org/abs/2309.08463
We establish various properties of the p-adic algebraic K-theory of smooth algebras over perfectoid rings living over perfectoid valuation rings. In particular, the p-adic K-theory of such rings is homotopy invariant, and coincides with the p-adic K-
Externí odkaz:
http://arxiv.org/abs/2203.06472
Autor:
Lüders, Morten, Morrow, Matthew
We study the mod $p^r$ Milnor $K$-groups of $p$-adically complete and $p$-henselian rings, establishing in particular a Nesterenko-Suslin style description in terms of the Milnor range of syntomic cohomology. In the case of smooth schemes over comple
Externí odkaz:
http://arxiv.org/abs/2101.01092
Autor:
Morrow, Matthew, Tsuji, Takeshi
We relate various approaches to coefficient systems in relative integral $p$-adic Hodge theory, working in the geometric context over the ring of integers of a perfectoid field. These include small generalised representations over $A_{\text{inf}}$ in
Externí odkaz:
http://arxiv.org/abs/2010.04059
Using topological cyclic homology, we give a refinement of Beilinson's $p$-adic Goodwillie isomorphism between relative continuous $K$-theory and cyclic homology. As a result, we generalize results of Bloch-Esnault-Kerz and Beilinson on the $p$-adic
Externí odkaz:
http://arxiv.org/abs/2003.12541
Publikováno v:
In Molecular Aspects of Medicine December 2023 94
Autor:
Kelly, Shane, Morrow, Matthew
We prove several results showing that the algebraic $K$-theory of valuation rings behave as though such rings were regular Noetherian, in particular an analogue of the Geisser--Levine theorem. We also give some new proofs of known results concerning
Externí odkaz:
http://arxiv.org/abs/1810.12203
Given a henselian pair $(R, I)$ of commutative rings, we show that the relative $K$-theory and relative topological cyclic homology with finite coefficients are identified via the cyclotomic trace $K \to \mathrm{TC}$. This yields a generalization of
Externí odkaz:
http://arxiv.org/abs/1803.10897
Autor:
Morrow, Matthew
Given a smooth formal scheme over the ring of integers of a mixed-characteristic perfectoid field, we study its $p$-adic vanishing cycles via de Rham--Witt and $q$-de Rham complexes.
Externí odkaz:
http://arxiv.org/abs/1802.03317
In mixed characteristic and in equal characteristic $p$ we define a filtration on topological Hochschild homology and its variants. This filtration is an analogue of the filtration of algebraic $K$-theory by motivic cohomology. Its graded pieces are
Externí odkaz:
http://arxiv.org/abs/1802.03261