27 citations · 76 across the 12 of their papers we have counts for
10 papers · 1 filter
Survey on bounding Selmer groups for Rankin--Selberg motives
Yifeng Liu, Yichao Tian, Liang Xiao +2
This article reviews the work of the same authors on the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives, with some new observations and speculations toward the categori…
Iwasawa's main conjecture for Rankin-Selberg motives in the anticyclotomic case
Yifeng Liu, Yichao Tian, Liang Xiao
In this article, we study the Iwasawa theory for cuspidal automorphic representations of over CM fields along anticyclotomic directions, in t…
On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives
Yifeng Liu, Yichao Tian, Liang Xiao +2
In this article, we study the Beilinson-Bloch-Kato conjecture for motives corresponding to the Rankin-Selberg product of conjugate self-dual automorphic representations, within the…
Supersingular locus of Hilbert modular varieties, arithmetic level raising and Selmer groups
Yifeng Liu, Yichao Tian
This article has three goals. First, we generalize the result of Deuring and Serre on the characterization of supersingular locus of modular curves to all Shimura varieties given b…
On Tate conjecture for the special fibers of some unitary Shimura varieties
David Helm, Yichao Tian, Liang Xiao
Let be a totally real field in which a fixed prime is inert, and let be a CM extension of in which splits. We fix two positive integers . We…
Tate cycles on some quaternionic Shimura varieties mod p
Yichao Tian, Liang Xiao
Let be a totally real field in which a prime number is inert. We continue the study of the (generalized) Goren--Oort strata on quaternionic Shimura varieties over finite…