Cheng Gong

activity

20242026

collaborators

4 papers

math.AG2026

Topological and arithmetic characteristics about products of projective lines with complex tori

Jia-Li Mo, Meirav Amram, Cheng Gong

In this paper, we study non-planar degeneracies with cylindrical configurations. They could be constructed by the product $CP^{1} \times T$ of the projective plane and a com…

math.AC2025

The regularity of monomial ideals and their integral closures

Yijun Cui, Cheng Gong, Guangjun Zhu

Let $I$ be a monomial ideal in a polynomial ring $S = K [x_{1}, \dots, x_{n}]$ over a field $K$ with $n = 2$ or $3$ , and let $I$ be its integral closure. We will show that $\text{…

math.AG2024

Deformations of Zappatic stable surfaces and their Galois covers

Meirav Amram, Cheng Gong, JiaLi Mo

This paper considers some algebraic surfaces that can deform to planar Zappatic stable surfaces with a unique singularity of type En. We prove that the Galois covers of these surfa…

math.AG2024

On Galois covers of a union of Zappatic surfaces of type $R_{k}$

Meirav Amram, Cheng Gong, Jia-Li Mo

We investigate the topological structures of Galois covers of a union of two Zappatic surfaces of type $R_{k}$ . We prove that the Galois covers of such surfaces are simply-connected…

Topological and arithmetic characteristics about products of projective lines with complex tori

The regularity of monomial ideals and their integral closures

Deformations of Zappatic stable surfaces and their Galois covers

On Galois covers of a union of Zappatic surfaces of type Rk​

On Galois covers of a union of Zappatic surfaces of type $R_{k}$