运动目标代数环面的截断第二主要定理及其应用
A truncated second main theorem for algebraic tori with moving targets and applications
摘要:
我们建立了一个代数环面的第二个主要定理与缓慢增长的移动目标截断水平1。作为这一结果的第一个应用,我们证明了Green-Griffith-Lang猜想的射影空间的$n+1$组件的背景下,移动目标的缓慢增长。作为另一个应用,我们讨论了指数多项式环在整函数环中的可积性。
英文摘要:
We establish a second main theorem for algebraic tori with slow growth moving targets with truncation to level 1. As the first application of this result, we prove the Green-Griffith-Lang conjecture for projective spaces with $n+1$ components in the context of moving targets of slow growth. Then we discuss the integrability of the ring of exponential polynomials in the ring of entire functions as another application.
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