Truncated counting functions of holomorphic curves in Abelian varieties

Details Truncated counting functions of holomorphic curves in Abelian varieties Truncated counting functions of holomorphic curves in Abelian varieties

2005-12-14

arxiv.org/abs/math/0512302v1

Mathematics

Complex Variables

23 pages

Scientific paper

A new proof of the Second Main Theorem with truncation level 1 for Zariski-dense holomorphic curves into Abelian varieties, which has just been proved by Yamanoi [Y2], is presented. Our proof is based on the idea of the "Radon transform" introduced in [K2] combined with consideration on certain singular perturbation of the probability measures on the parameter space which appears in the "Radon transform".

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