Zobrazeno 1 - 10
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pro vyhledávání: '"14F42"'
Autor:
Chen, Chongyao, Wickelgren, Kirsten
We compute an analogue of Pascal's triangle enriched in bilinear forms over a finite field. This gives an arithmetically meaningful count of the ways to choose $j$ embeddings into an \'etale extension of degree $n$. We also compute a quadratic twist.
Externí odkaz:
http://arxiv.org/abs/2412.14277
We prove that the element $h_6^2$ is a permanent cycle in the Adams spectral sequence. As a result, we establish the existence of smooth framed manifolds with Kervaire invariant one in dimension 126, thereby resolving the final case of the Kervaire i
Externí odkaz:
http://arxiv.org/abs/2412.10879
In this document, we describe the process of obtaining numerous Adams differentials and extensions using computational methods, as well as how to interpret the dataset uploaded to Zenodo. Detailed proofs of the machine-generated results are also prov
Externí odkaz:
http://arxiv.org/abs/2412.10876
Autor:
Nakamura, Teppei
We show that, for a $K_0$-regular projective normal surface $X$ over a perfect field $k$ of positive characteristic and a reduced effective Cartier divisor $D\hookrightarrow X$, the Chow group of zero cycles on $X$ with modulus $D$ coincides with the
Externí odkaz:
http://arxiv.org/abs/2412.03891
Autor:
Scholze, Peter
We construct a theory of (etale) Berkovich motives. This is closely related to Ayoub's theory of rigid-analytic motives, but works uniformly in the archimedean and nonarchimedean setting. We aim for a self-contained treatment, not relying on previous
Externí odkaz:
http://arxiv.org/abs/2412.03382
For each configuration of rational points on the affine line, we define an operation on the group of unstable A1 motivic homotopy classes of endomorphisms of the projective line. We also derive an algebraic formula for the image of such an operation
Externí odkaz:
http://arxiv.org/abs/2411.15347
Autor:
Kumar, K. Arun, Röndigs, Oliver
Several candidates for a motivic spectrum representing hermitian K-theory in the Morel-Voevodsky motivic stable homotopy category over schemes in which 2 is not necessarily invertible exist. This note shows that the cellular absolute motivic spectrum
Externí odkaz:
http://arxiv.org/abs/2411.14857
Autor:
Kong, Hana Jia, Lin, Weinan
We give formulas for the conjugated motivic Milnor basis of the mod 2 motivic Steenrod algebra.
Comment: 7 pages, comments welcome!
Comment: 7 pages, comments welcome!
Externí odkaz:
http://arxiv.org/abs/2411.12890
Autor:
Mohajer, Mohammadreza
In this thesis, we aim to develop p-adic analogs of known results for classical periods, focusing specifically on 1-motives. We establish an integration theory for 1-motives with good reductions, which generalizes the Colmez-Fontaine-Messing p-adic i
Externí odkaz:
http://arxiv.org/abs/2411.03118
Autor:
Ivorra, Florian
The purpose of this paper is to provide a very short proof of a generalized categorified version, within the motivic stable homotopy category of Morel and Voevodsky, of the integral identity for virtual motives conjectured by Kontsevich and Soibelman
Externí odkaz:
http://arxiv.org/abs/2410.11365