Year: 2026
Type: preprint
Abstract: Let $A$ be a complex abelian surface. We prove that $A$ admits a dominant rational map of degree three to $\PP^2$ if and only if it admits a polarization of type $(1,1)$, $(1,2)$, $(1,3)$, or $(1,6)$. Consequently, the degree of irrationality of $A$ is $3$ precisely in these four cases and is $4$ otherwise.
Source: arXiv (Cornell University)
Authors: Huang, Songsong, Jiang, Zhi, Yang, Xin
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G2866999593, 不规则簇的地理学问题
OpenAlex ID: W7207761823