Yongqiang Zhao

activity

20172024

collaborators

4 papers

math.SP2024

On the multiplicity of the eigenvalues of discrete tori

Bing Xie, Yigeng Zhao, Yongqiang Zhao

It is well known that the standard flat torus $T^{2} = R^{2} / Z^{2}$ has arbitrarily large Laplacian-eigenvalue multiplicities. We prove, however, that $24$ is the optima…

math.AG2023

Scrollar invariants, syzygies and representations of the symmetric group II

Floris Vermeulen

Let $φ : C \to P^{1}$ be a degree $d$ cover of curves. In work by Castryck, Zhao and the author, we showed how one can attach to each partition $λ$ of $d$ a multi-set of scrol…

math.NT2018

On a senary quartic form

Jianya Liu, Jie Wu, Yongqiang Zhao

We count rational points of bounded height on the non-normal senary quartic hypersurface x 4 = (y 2 1 + $\times$ $\times$ $\times$ + y 2 4)z 2 in the spirit of Manin's conjecture.

math.NT2017

Manin's conjecture for a class of singular cubic hypersurfaces

Jianya Liu, Jie Wu, Yongqiang Zhao

Let $n$ be a positive multiple of $4$ . We establish an asymptotic formula for the number of rational points of bounded height on singular cubic hypersurfaces $S_{n}$ defined by $$ x^…