A truncated second main theorem for algebraic tori with moving targets and applications

Ji Guo; Chia-Liang Sun; Julie Tzu-Yueh Wang

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arXiv · 2103.16087

A truncated second main theorem for algebraic tori with moving targets and applications

Ji Guo·Chia-Liang Sun·Julie Tzu-Yueh Wang

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Abstract

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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Ji Guo, Chia-Liang Sun, Julie Tzu-Yueh Wang. 2021-03-30. A truncated second main theorem for algebraic tori with moving targets and applications. https://arxiv.org/abs/2103.16087

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