Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Zheng, Weizhe"'
Autor:
Lu, Qing, Zheng, Weizhe
Publikováno v:
Finite Fields Appl. 73 (2021) 101840
Let $\mathbf{F}_q$ be a finite field of $q$ elements. We show that the normalized Jacobi sum $q^{-(m-1)/2}J(\chi_1,\dots,\chi_m)$ ($\chi_1\dotsm \chi_m$ nontrivial) is asymptotically equidistributed on the unit circle, when $\chi_1\in \mathcal{A}_1,\
Externí odkaz:
http://arxiv.org/abs/2005.14358
Autor:
Lu, Qing, Zheng, Weizhe
Publikováno v:
Forum Math. Sigma 10 (2022), e10
We prove a relative Lefschetz-Verdier theorem for locally acyclic objects over a Noetherian base scheme. This is done by studying duals and traces in the symmetric monoidal $2$-category of cohomological correspondences. We show that local acyclicity
Externí odkaz:
http://arxiv.org/abs/2005.08522
Autor:
Lu, Qing, Zheng, Weizhe
Publikováno v:
Compositio Math. 155 (2019) 2334-2353
We show that compatible systems of $\ell$-adic sheaves on a scheme of finite type over the ring of integers of a local field are compatible along the boundary up to stratification. This extends a theorem of Deligne on curves over a finite field. As a
Externí odkaz:
http://arxiv.org/abs/1801.03221
Autor:
Lu, Qing, Zheng, Weizhe
Publikováno v:
Duke Math. J. 168, no. 16 (2019), 3135-3213
This paper studies the sliced nearby cycle functor and its commutation with duality. Over a Henselian discrete valuation ring, we show that this commutation holds, confirming a prediction of Deligne. As an application we give a new proof of Beilinson
Externí odkaz:
http://arxiv.org/abs/1712.10216
Autor:
Zheng, Weizhe
We present Gabber's theorem of independence of $l$ for the intersection cohomology of a proper equidimensional scheme over the spectrum of a finite field. We follow [Fuji] very closely. ----- On expose ici le th\'eor\`eme de Gabber d'ind\'ependance d
Externí odkaz:
http://arxiv.org/abs/1608.06191
Autor:
Zheng, Weizhe
Publikováno v:
Math. Z. 292 (2019), no. 1-2, pp. 57-81
Deligne's conjecture that $\ell$-adic sheaves on normal schemes over a finite field admit $\ell'$-companions was proved by L. Lafforgue in the case of curves and by Drinfeld in the case of smooth schemes. In this paper, we extend Drinfeld's theorem t
Externí odkaz:
http://arxiv.org/abs/1512.08929
Autor:
Liu, Yifeng, Zheng, Weizhe
In this sequel of arXiv:1211.5294 and arXiv:1211.5948, we develop an adic formalism for \'etale cohomology of Artin stacks and prove several desired properties including the base change theorem. In addition, we define perverse t-structures on Artin s
Externí odkaz:
http://arxiv.org/abs/1404.1128
Autor:
Sun, Shenghao, Zheng, Weizhe
Publikováno v:
Algebra & Number Theory 10 (2016), no. 2, pp. 235-307
In this paper, we show that the Galois representations provided by $\ell$-adic cohomology of proper smooth varieties, and more generally by $\ell$-adic intersection cohomology of proper varieties, over any field, are orthogonal or symplectic accordin
Externí odkaz:
http://arxiv.org/abs/1402.1292
Publikováno v:
J. Reine Angew. Math. 2018, no. 741, pp. 67-86
Let $\mathbf{F}_q$ be a finite field of $q$ elements. For multiplicative characters $\chi_1,\dots, \chi_m$ of $\mathbf{F}_q^\times$, we let $J(\chi_1,\dots, \chi_m)$ denote the Jacobi sum. Nicholas Katz and Zhiyong Zheng showed that for $m=2$, the no
Externí odkaz:
http://arxiv.org/abs/1305.3405
Autor:
Illusie, Luc, Zheng, Weizhe
Publikováno v:
J. Algebraic Geom. (2016), no. 2, pp. 289-400
Let $k$ be an algebraically closed field. Let $\Lambda$ be a noetherian commutative ring annihilated by an integer invertible in $k$ and let $\ell$ be a prime number different from the characteristic of $k$. We prove that if $X$ is a separated algebr
Externí odkaz:
http://arxiv.org/abs/1305.0365