Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Qiu, Congling"'
Given an algebraic curve $X$ of genus $\ge 3$, one can construct two algebraic $1$-cycles, the Ceresa cycle and the Gross-Kudla-Schoen modified diagonal cycle, each living in the Jacobian of $X$ and the triple product $X \times X \times X$ respective
Externí odkaz:
http://arxiv.org/abs/2407.20998
Autor:
Qiu, Congling
We conjecture that only finitely many Shimura curves can have vanishing modified diagonal cycles in the Chow groups of their triple products. We prove some finiteness results toward this conjecture in terms of an automorphic criterion for such vanish
Externí odkaz:
http://arxiv.org/abs/2310.20600
Autor:
Qiu, Congling, Zhang, Wei
We prove vanishing results for the modified diagonal cycles in the Chow groups of the triple products of Shimura curves and their motivic direct summands. In particular we find examples of curves with trivial automorphism groups and vanishing modifie
Externí odkaz:
http://arxiv.org/abs/2310.19707
Autor:
Qiu, Congling, Zhang, Wei
Publikováno v:
Tunisian J. Math. 6 (2024) 225-247
We prove a sufficient condition for the vanishing of the modified diagonal cycle in the Chow group (with $\mathbb{Q}$-coefficients) of the triple product of a curve over $\mathbb{C}$. We exhibit infinitely many non-hyperelliptic curves, including the
Externí odkaz:
http://arxiv.org/abs/2209.09736
Autor:
Qiu, Congling
The goal of this paper is to study a $p$-adic analog of the joint of the conjectures of Andr\'e--Oort and Andr\'e--Pink. More precisely, on a product of ordinary Siegel formal moduli schemes, we study the distribution of points whose components are e
Externí odkaz:
http://arxiv.org/abs/2209.05018
We study the Hecke algebra modules arising from theta correspondence between certain Harish-Chandra series for type I dual pairs over finite fields. For the product of the pair of Hecke algebras under consideration, we show that there is a generic He
Externí odkaz:
http://arxiv.org/abs/2208.00431
Autor:
Qiu, Congling
We construct explicit generating series of arithmetic extensions of Kudla's special divisors on integral models of unitary Shimura varieties over CM fields with arbitrary split levels and prove that they are modular forms valued in the arithmetic Cho
Externí odkaz:
http://arxiv.org/abs/2204.13457
A novel method for identifying SARS-CoV-2 infection mutants via an epitope-specific CD8+ T cell test
Autor:
Qiu, Congling, Peng, Bo, Xiao, Chanchan, Chen, Pengfei, Mao, Lipeng, Shi, Xiaolu, Zhang, Zhen, Lv, Ziquan, Lv, Qiuying, Zhang, Xiaomin, Li, Jiaxin, Huang, Yanhao, Hu, Qinghua, Chen, Guobing, Zou, Xuan, Liang, Xiaofeng
Publikováno v:
In Biosafety and Health June 2024 6(3):143-152
Autor:
Qiu, Congling
We prove a higher weight general Gross--Zagier formula for CM cycles on Kuga--Sato varieties over modular curves of arbitrary levels. To formulate and prove this result, we prove several results on the modularity of CM cycles, in the sense that the H
Externí odkaz:
http://arxiv.org/abs/2105.12561
Publikováno v:
In Advances in Mathematics February 2024 438