AI 中文总结
研究任意维复半阿贝尔簇的有效刻画，利用对数不规则性和前两个对数多重亏格，在特定条件簇中得出相关结果，是任意维拟射影簇该方向首个成果。
AI 中文摘要
我们在最大阿尔巴内塞维数的簇以及其紧致化具有大不规则性的簇中，根据对数不规则性和前两个对数多重亏格，得到了任意维复半阿贝尔簇的有效刻画（这些假设是精确的）。据作者所知，这是任意维拟射影簇在这个方向上的首个结果。
英文摘要
We obtain effective characterizations of complex semi-abelian varieties in arbitrary dimension in terms of logarithmic irregularity and the first two logarithmic plurigenera, among varieties of maximal Albanese dimension, and among varieties whose compactification has large irregularity (these hypotheses are sharp). To the authors' knowledge, this is the first result in this direction for quasi-projective varieties in arbitrary dimension.
Comments22 pages. Comments welcome!
