AI 中文总结
本文针对阿贝尔簇内曲线的Zilber-Pink猜想，给出其轨迹模大素数约化像的显式界，证明了该轨迹的有限性，并在进一步假设下给出了轨迹大小的界。
AI 中文摘要
我们给出阿贝尔簇中曲线的Zilber-Pink轨迹在模足够大素数p约化下的像的显式界，还给出Zilber-Pink轨迹有限性的新证明。在阿贝尔簇的进一步假设下，我们证明了该轨迹大小的一个界。
英文摘要
We provide an explicit bound for the image of the Zilber--Pink locus of a curve in an abelian variety under reduction modulo a suitably large prime $p$. We also provide a new proof of finiteness of the Zilber--Pink locus. Under further assumptions on the abelian variety, we prove a bound on the size of the locus.
Comments30 pages, comments welcome
