40 citations · 152 across the 19 of their papers we have counts for
10 papers · 1 filter
On pro-cdh descent on derived schemes
Shane Kelly, Shuji Saito, Georg Tamme
Grothendieck's formal functions theorem states that the coherent cohomology of a Noetherian scheme can be recovered from that of a blowup and the infinitesimal thickenings of the c…
On the -theory of pushouts
Markus Land, Georg Tamme
We reveal a relation between the behaviour of localizing invariants on pushouts and on pullbacks of ring spectra. More concretely, we show that the failure of sending a pus…
K-theory of non-archimedean rings II
Moritz Kerz, Shuji Saito, Georg Tamme
We study fundamental properties of analytic -theory of Tate rings such as homotopy invariance, Bass fundamental theorem, Milnor excision, and descent for admissible coverings.
Purity in chromatically localized algebraic -theory
Markus Land, Akhil Mathew, Lennart Meier +1
We prove a purity property in telescopically localized algebraic -theory of ring spectra: For , the -localization of only depends on the $T(0)\oplus \dots…
Towards Vorst's conjecture in positive characteristic
Moritz Kerz, Florian Strunk, Georg Tamme
Vorst's conjecture relates the regularity of a ring with the -homotopy invariance of its -theory. We show a variant of this conjecture in positive characteristic.
On the K-theory of pullbacks
Markus Land, Georg Tamme
To any pullback square of ring spectra we associate a new ring spectrum and use it to describe the failure of excision in algebraic -theory. The construction of this new ring sp…
K-theory of non-archimedean rings I
Moritz Kerz, Shuji Saito, Georg Tamme
We introduce a variant of homotopy K-theory for Tate rings, which we call analytic K-theory. It is homotopy invariant with respect to the analytic affine line viewed as an ind-obje…
Excision in algebraic K-theory revisited
Georg Tamme
By a theorem of Suslin, a Tor-unital (not necessarily unital) ring satisfies excision in algebraic K-theory. We give a new and direct proof of Suslin's result based on an exact seq…
Algebraic K-theory and descent for blow-ups
Moritz Kerz, Florian Strunk, Georg Tamme
We prove that algebraic K-theory satisfies `pro-descent' for abstract blow-up squares of noetherian schemes. As an application we derive Weibel's conjecture on the vanishing of neg…
The Relative Chern Character and Regulators
Georg Tamme
In this thesis we construct a modified version of Karoubi's relative Chern character for smooth varieties over the complex numbers or the ring of integers in a p-adic number field.…