Zheng Xu

collaborators

3 papers

math.AG2026

Abundance for threefolds in positive characteristic when $I^½ = 2$

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.NT2024

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.AG2024

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 $p > 3$ …

Abundance for threefolds in positive characteristic when I^½=2

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

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

Abundance for threefolds in positive characteristic when $I^½ = 2$

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