Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Koizumi, Junnosuke"'
Morton and Vivaldi defined the polynomials whose roots are parabolic parameters for a one-parameter family of polynomial maps. We call these polynomials delta factors. They conjectured that delta factors are irreducible for the family $z\mapsto z^2+c
Externí odkaz:
http://arxiv.org/abs/2408.04850
Autor:
Kanda, Shuho, Koizumi, Junnosuke
An iterated circumcenter sequence (ICS) in dimension $d$ is a sequence of points in $\mathbb{R}^d$ where each point is the circumcenter of the preceding $d+1$ points. The purpose of this paper is to completely determine the parameter space of ICSs an
Externí odkaz:
http://arxiv.org/abs/2407.19767
The formula for the number of domino tilings due to Kasteleyn and Temperley-Fisher is strikingly similar to Eisenstein's formula for the Legendre symbol. We study the connection between these two concepts and prove a formula which expresses the Jacob
Externí odkaz:
http://arxiv.org/abs/2311.13597
Autor:
Koizumi, Junnosuke
In this paper, we study cohomology theories of $\mathbb{Q}$-modulus pairs, which are pairs $(X, D)$ consisting of a scheme $X$ and a $\mathbb{Q}$-divisor $D$. Our main theorem provides a sufficient condition for such a cohomology theory to be invaria
Externí odkaz:
http://arxiv.org/abs/2306.14803
Autor:
Koizumi, Junnosuke, Miyazaki, Hiroyasu
The theory of reciprocity sheaves due to Kahn-Saito-Yamazaki is a powerful framework to study invariants of smooth varieties via invariants of pairs $(X,D)$ of a variety $X$ and a divisor $D$. We develop a generalization of this theory where $D$ can
Externí odkaz:
http://arxiv.org/abs/2301.05846
Autor:
Koizumi, Junnosuke
We prove that any commutative group scheme separated over a noetherian normal scheme admits a canonical structure of a presheaf with transfers, which is characterized by a simple condition on radicial transfers.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/2112.09846
Autor:
Koizumi, Junnosuke
Publikováno v:
Ann. K-Th. 7 (2022) 695-730
We study multilinear symbols on fields taking values in reciprocity sheaves. We prove that any such symbol satisfying natural axioms automatically has Steinberg-type relations, which is a manifestation of the geometry of modulus pairs lying behind.
Externí odkaz:
http://arxiv.org/abs/2108.04163
Autor:
Koizumi, Junnosuke, Miyazaki, Hiroyasu
Publikováno v:
In Journal of Pure and Applied Algebra June 2024 228(6)
Autor:
Koizumi, Junnosuke
We give an explicit formula for the zeroth $\mathbb{A}^1$-homology sheaf of a smooth proper variety. We also provide a simple proof of a theorem of Kahn-Sujatha which describes hom sets in the birational localization of the category of smooth varieti
Externí odkaz:
http://arxiv.org/abs/2101.04951
Autor:
Koizumi, Junnosuke
In this paper, we provide a general criterion for a cohomology theory to be representable in the category of motives with modulus. Using this result, we prove the representability of the Witt vector cohomology under resolution of singularities.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41de6ad763d4eb1bde89a04c5a66fcb6