Zheng Xu

activity

20192026

most citedNeighborhood of the supersingular elliptic curve isogeny graph at

j = 0

and

1728

1 citations · 1 across the 5 of their papers we have counts for

collaborators

6 papers

math.NT2026

Smoothness of Shortest Isogenies to Frobenius Conjugates

Yi Ouyang, Wei Wei, Zheng Xu

Let $E$ be chosen uniformly from the geometric isomorphism classes of supersingular elliptic curves over $F_{p}$ and $δ_{E}$ be the minimum degree of isogenies from…

math.NT2023

Neighborhood of vertices in the isogeny graph of principally polarized superspecial abelian surfaces

Zheng Xu, Yi Ouyang, Zijian Zhou

For two supersingular elliptic curves $E$ and $E^{'}$ defined over $F_{p^{2}}$ , let $[E \times E^{'}]$ be the superspecial abelian surface with the principal polarization $\{0\} \…

math.AG2023

Abundance for threefolds in positive characteristic when $ν = 2$

Zheng Xu

In this paper, we prove the abundance conjecture for threefolds over a perfect field $k$ of characteristic $p > 3$ in the case of numerical dimension equals to $2$ . More precisely,…

math.AG2022

Note on the 3-dimensional log canonical abundance in characteristic $> 3$

Zheng Xu

In this paper, we prove the non-vanishing and some special cases of the abundance for log canonical threefold pairs over an algebraically closed field $k$ of characteristic $p > 3$ …

math.NT2019

Endomorphism rings of supersingular elliptic curves over $F_{p}$

Songsong Li, Yi Ouyang, Zheng Xu

Let $p > 3$ be a fixed prime. For a supersingular elliptic curve $E$ over $F_{p}$ with $j$ -invariant $j (E) \in F_{p} \ {0, 1728}$ , it is well known that the Fro…

math.NT2019★ 1 cited

Neighborhood of the supersingular elliptic curve isogeny graph at $j = 0$ and $1728$

Songsong Li, Yi Ouyang, Zheng Xu

We describe the neighborhood of the vertex $[E_{0}]$ (resp. $[E_{1728}]$ ) in the $ℓ$ -isogeny graph $G_{ℓ} (F_{p^{2}}, - 2 p)$ of supersingular elliptic curves over…

Smoothness of Shortest Isogenies to Frobenius Conjugates

Neighborhood of vertices in the isogeny graph of principally polarized superspecial abelian surfaces

Abundance for threefolds in positive characteristic when ν=2

Note on the 3-dimensional log canonical abundance in characteristic >3

Endomorphism rings of supersingular elliptic curves over Fp​

Neighborhood of the supersingular elliptic curve isogeny graph at j=0 and 1728

Abundance for threefolds in positive characteristic when $ν = 2$

Note on the 3-dimensional log canonical abundance in characteristic $> 3$

Endomorphism rings of supersingular elliptic curves over $F_{p}$

Neighborhood of the supersingular elliptic curve isogeny graph at $j = 0$ and $1728$