Zobrazeno 1 - 10
of 364
pro vyhledávání: '"Watanabe, Yuta"'
In this paper, we consider a proper K\"ahler fibration $f \colon X \to Y$ and a singular Hermitian line bundle $(L, h)$ on $X$ with semi-positive curvature. We prove that the direct image sheaf $f_{*}(\mathcal{O}_{X}(K_{X/Y}+L) \otimes \mathcal{I}(h)
Externí odkaz:
http://arxiv.org/abs/2407.11412
Autor:
Watanabe, Yuta
This paper delves into the Terwilliger algebra associated with the ordered Hamming scheme, which extends from the wreath product of one-class association schemes and was initially introduced by Delsarte as a natural expansion of the Hamming schemes.
Externí odkaz:
http://arxiv.org/abs/2407.06550
Autor:
Watanabe, Yuta
In this paper, we investigate various positivity for singular Hermitian metrics such as Griffiths, $\omega$-trace and RC, where $\omega$ is a Hermitian metric, and show that these quasi-positivity notions induce $0$-th cohomology vanishing, rational
Externí odkaz:
http://arxiv.org/abs/2402.06658
Autor:
Watanabe, Yuta, Zou, Yongpan
We investigate the positivity properties of the direct image $f_{\ast}(K_{X/Y} \otimes L)$ of the adjoint line bundle associated with a big and nef line bundle $L$, under a smooth fibration $f: X\to Y$ between projective varieties. We show that the v
Externí odkaz:
http://arxiv.org/abs/2401.17684
Autor:
Watanabe, Yuta
The generalized wreath product of symmetric association schemes was introduced by R.A.Bailey in the European Journal of Combinatorics 27 (2006) 428-435. It is recognized as a unification of both the wreath product and the direct product of symmetric
Externí odkaz:
http://arxiv.org/abs/2305.19258
Autor:
Watanabe, Yuta
Let $f:X\to Y$ be a surjective projective map and $L$ be a holomorphic line bundle on $X$ equipped with a (singular) semi-positive Hermitian metric $h$. In this article, by studying the canonical metric on the direct image sheaf of the twisted relati
Externí odkaz:
http://arxiv.org/abs/2302.09398
Autor:
Watanabe, Yuta
In this article, we first establish an $L^2$-type Dolbeault isomorphism for the sheaf of logarithmic differential forms twisted by the multiplier ideal sheaf. By using this isomorphism and $L^2$-estimates equipped with a singular Hermitian metric, we
Externí odkaz:
http://arxiv.org/abs/2211.10077
Autor:
Watanabe, Yuta
In this article, we get properties for singular (dual) Nakano semi-positivity and obtain singular type vanishing theorem involving $L^2$-subsheaves on weakly pseudoconvex manifolds by $L^2$-estimates and $L^2$-type Dolbeault isomorphisms. As applicat
Externí odkaz:
http://arxiv.org/abs/2209.00823
Publikováno v:
Phys. Rev. B 105, 174111 (2022)
By classical and path-integral molecular dynamics simulations, we study the pressure-temperature ($P$-$T$) phase diagram of LaH$_{10}$ to clarify the impact of temperature and atomic zero-point motions. We calculate the XRD pattern and analyze the sp
Externí odkaz:
http://arxiv.org/abs/2205.06524
Publikováno v:
In Materials Chemistry and Physics 1 September 2024 323