A truncated second main theorem for algebraic tori with moving targets and applications
Copyright policy )A truncated second main theorem for algebraic tori with moving targets and applications
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.
20pages
- Central South University China (People's Republic of)
Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, General properties of functions of one complex variable, 30D35 (Primary), 30A70, 11J97(Secondary)
Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, General properties of functions of one complex variable, 30D35 (Primary), 30A70, 11J97(Secondary)
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