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math.NT2020★ 5 cited
Analogues of Alladi's formula over global function fields
Lian Duan, Biao Wang, Shaoyun Yi
In this paper, we show an analogue of Kural, McDonald and Sah's result on Alladi's formula for global function fields. Explicitly, we show that for a global function field , if…
math.AG2020
Transverse linear subspaces to hypersurfaces over finite fields
Shamil Asgarli, Lian Duan, Kuan-Wen Lai
Ballico proved that a smooth projective variety of degree over a finite field of elements admits a smooth hyperplane section if . In this paper,…
math.NT2020
Irreducibility of geometric Galois representations and the Tate conjecture for a family of elliptic surfaces
Lian Duan, Xiyuan Wang
Using Calegari's result on the Fontaine-Mazur conjecture, we study the irreducibility of pure, regular, rank 3 weakly compatible systems of self-dual l-adic representations. As a c…