Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Yang, Enlin"'
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
Autor:
Yang, Enlin, Zhao, Yigeng
We confirm the quasi-projective case of Saito's conjecture, namely that the cohomological characteristic classes defined by Abbes and Saito can be computed in terms of the characteristic cycles. We construct a cohomological characteristic class suppo
Externí odkaz:
http://arxiv.org/abs/2209.11086
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:
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:
Yang, Shanjin, Zhou, Mingzhong, Longman, Jack, Zhou, Li, Yang, Enlin, Wang, Guiyun, Zhang, Di, Zhang, Zongling, Zhang, Hongwei
Publikováno v:
In Precambrian Research October 2023 397
Autor:
Jin, Fangzhou, Yang, Enlin
We prove several K\"unneth formulas in motivic homotopy categories and deduce a Verdier pairing in these categories following SGA5, which leads to the characteristic class of a constructible motive, an invariant closely related to the Euler-Poincar\'
Externí odkaz:
http://arxiv.org/abs/1812.06441
Autor:
Yang, Enlin, Zhao, Yigeng
We propose a conjecture on the relative twist formula of $\ell$-adic sheaves, which can be viewed as a generalization of Kato-Saito's conjecture. We verify this conjecture under some transversal assumptions. We also define a relative cohomological ch
Externí odkaz:
http://arxiv.org/abs/1807.06930
Autor:
Hu, Haoyu, Yang, Enlin
Recently, the singular support and the characteristic cycle of an \'etale sheaf on a smooth variety over a perfect field are constructed by Beilinson and Saito, respectively. In this article, we extend the singular support to a relative situation. As
Externí odkaz:
http://arxiv.org/abs/1702.06752
We prove a twist formula for the epsilon factor of a constructible sheaf on a projective smooth variety over a finite field in terms of characteristic class of the sheaf. This formula is a modified version of the formula conjectured by Kato and Saito
Externí odkaz:
http://arxiv.org/abs/1701.02841
Publikováno v:
In Precambrian Research November 2021 366