Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Elmanto, Elden"'
Autor:
Elmanto, Elden, Riggenbach, Noah
In this note, we study the $p$-complete topological cyclic homology of the affine line relative to a ring $A$ which is smooth over a perfectoid ring $R$. Denoting by $NTC(A; \mathbb{Z}_p)$ the spectrum which measures the failure of $\mathbb{A}^1$-inv
Externí odkaz:
http://arxiv.org/abs/2410.07101
We show that any good moduli space $\pi : \mathcal{X} \to Y$ has a splitting after a proper, generically finite covering of $Y$. As an application we generalize Koll\'ar's ampleness lemma to give a criterion for projectivity of a good moduli space.
Externí odkaz:
http://arxiv.org/abs/2408.11057
Autor:
Elmanto, Elden, Zhang, Ningchuan
In this paper, we generalize the Quillen-Lichtenbaum Conjecture relating special values of Dedekind zeta functions to algebraic $\mathrm{K}$-groups. The former has been settled by Rost-Voevodsky up to the Iwasawa Main Conjecture. Our generalization e
Externí odkaz:
http://arxiv.org/abs/2405.03578
Autor:
Addington, Nicolas, Elmanto, Elden
The Quillen-Lichtenbaum conjecture for smooth complex varieties states that algebraic and topological K-theory with finite coefficients become isomorphic in high degrees. We define the "Quillen-Lichtenbaum dimension" of a variety in terms of the poin
Externí odkaz:
http://arxiv.org/abs/2312.06930
We solve a motivic version of the Adams conjecture with the exponential characteristic of the base field inverted. In the way of the proof we show that the higher motivic stable stems are of bounded torsion and obtain a motivic version of mod k Dold
Externí odkaz:
http://arxiv.org/abs/2310.00974
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 use motivic colimits to construct power operations on the homotopy groups of normed motivic spectra admitting a (normed) map from HF_2. We establish enough of their standard properties to prove that the motivic dual Steenrod algebra is generated b
Externí odkaz:
http://arxiv.org/abs/2210.07150
We prove that the universal normed motivic spectrum of characteristic 2 over a scheme on which 2 is a unit, splits into a sum of motivic Eilenberg--MacLane spectra.
Externí odkaz:
http://arxiv.org/abs/2210.07137
In this paper, we study twisted algebraic $K$-theory from a motivic viewpoint. For a smooth variety $X$ over a field of characteristic zero and an Azumaya algebra $\mathcal{A}$ over $X$, we construct the $\mathcal{A}$-twisted motivic spectral sequenc
Externí odkaz:
http://arxiv.org/abs/2110.09203
In this paper, we study the Nisnevich sheafification $\mathcal{H}^1_{\acute{e}t}(G)$ of the presheaf associating to a smooth scheme the set of isomorphism classes of $G$-torsors, for a reductive group $G$. We show that if $G$-torsors on affine lines
Externí odkaz:
http://arxiv.org/abs/2104.06273