Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Jin, Fangzhou"'
In this note we study the functoriality of the coniveau filtration in motivic homotopy theory via a moving lemma over a base scheme, extending previous works of Levine and Bachmann-Yakerson. The main result is that the motivic stable homotopy categor
Externí odkaz:
http://arxiv.org/abs/2303.15906
Autor:
Jin, Fangzhou1,2 (AUTHOR), Xu, Zhiyuan3 (AUTHOR), Wang, Wei1,2 (AUTHOR), Cheng, Zhongyuan4 (AUTHOR), Wu, Yang1,2 (AUTHOR), Li, Zesen1,2 (AUTHOR), Song, Enlai1,2 (AUTHOR), Yue, Xu1,2 (AUTHOR), Zhang, Yong Kang1,2 (AUTHOR), Li, Wei1,2 (AUTHOR), Feng, Youzhen4 (AUTHOR), Cao, Donglin3 (AUTHOR), Zhang, Dongmei5 (AUTHOR), Chen, Minfeng5 (AUTHOR) minfengchen@jnu.edu.cn, Cai, Xiangran4 (AUTHOR) caixran@jnu.edu.cn, Ran, Yang1,2,3 (AUTHOR) tranyang@jnu.edu.cn, Guan, Bai‐Ou1,2 (AUTHOR) tguanbo@jnu.edu.cn
Publikováno v:
Small Science. Oct2024, p1. 14p. 8 Illustrations.
Autor:
Jin, Fangzhou, Yang, Enlin
Given a motivic spectrum $K$ over a smooth proper scheme which is dualizable over an open subscheme, we define its quadratic Artin conductor under some assumptions, and prove a formula relating the quadratic Euler characteristic of $K$, the rank of $
Externí odkaz:
http://arxiv.org/abs/2211.10985
We compute the perverse delta-homotopy heart of the motivic stable homotopy category over a base scheme with a dimension function delta, rationally or after inverting the exponential characteristic in the equicharacteristic case. In order to do that,
Externí odkaz:
http://arxiv.org/abs/2210.14832
We show that the zero-dimensional part of the pro-Chern-Schwarz-MacPherson class defined by Aluffi is equal to the pro-characteristic class in limit Borel-Moore motivic homology. A similar construction also produces a quadratic refinement of this cla
Externí odkaz:
http://arxiv.org/abs/2208.11989
Autor:
Tian, Jiazhao, Du, Tianyi, Liu, Yu, Liu, Haibin, Jin, Fangzhou, Said, Ressa S., Cai, Jianming
Publikováno v:
Phys. Rev. A 100, 012110 (2019)
The nitrogen-vacancy (NV) center spin represents an appealing candidate for quantum information processing. Besides the widely used microwave control, its coherent manipulation may also be achieved using laser as mediated by the excited energy levels
Externí odkaz:
http://arxiv.org/abs/2204.13984
Autor:
Li, Zesen, Lan, Ni, Cheng, Zhongyuan, Jin, Fangzhou, Song, Enlai, Xu, Zhiyuan, Zhang, Yongkang, Feng, You-Zhen, Cai, Xiangran, Ran, Yang, Guan, Bai-Ou
Publikováno v:
In Chemical Engineering Journal 1 August 2024 493
Autor:
Jin, Fangzhou, Yang, Enlin
We extend Ayoub's formalism of motivic nearby cycle functor to the $\infty$-categorical level, and prove some desired cohomological properties by relating the motivic nearby cycle functor to the notion of local acyclicity in motivic homotopy.
Externí odkaz:
http://arxiv.org/abs/2107.08603
Autor:
Jin, Fangzhou
We define a trace map for every cohomological correspondence in the motivic stable homotopy category over a general base scheme, which takes values in the twisted bivariant groups. Local contributions to the trace map give rise to quadratic refinemen
Externí odkaz:
http://arxiv.org/abs/2010.09292
Autor:
Jin, Fangzhou
We show that for quasi-compact quasi-separated schemes of finite dimension, the constructibility condition in real \'etale cohomology agrees with a notion of constructibility arising naturally from topology. As application we prove that the derived d
Externí odkaz:
http://arxiv.org/abs/2009.00396