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

Jia-Li Mo; Meirav Amram; Cheng Gong

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arXiv · 2602.14745

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

Jia-Li Mo·Meirav Amram·Cheng Gong

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Abstract

In this paper, we study non-planar degeneracies with cylindrical configurations. They could be constructed by the product $\mathbb{CP}^1 \times T$ of the projective plane and a complex torus with embedding $(m,n)$. We prove that their fundamental groups of Galois covers have an abelian subgroup of rank $m(2n-1)$ respectively, and the irregularity of these surfaces are at least $2mn-1$. Furthermore, we also use Chern numbers to compute the index of such surfaces and classify them.

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BibTeX RIS

Jia-Li Mo, Meirav Amram, Cheng Gong. 2026-02-16. Topological and arithmetic characteristics about products of projective lines with complex tori. https://arxiv.org/abs/2602.14745

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