Nevanlinna Second Main Theorem and tautological inequality for parabolic manifolds

Clara Derand

Nevanlinna Second Main Theorem and tautological inequality for parabolic manifolds

Algebraic Geometry 2024-12-03 v2 Complex Variables

Authors: Clara Derand

Abstract

We obtain a Second Main Theorem type inequality for holomorphic maps $f : M \to X$ , where $M$ is a parabolic manifold and $X$ is smooth projective with dim $M$ $\le$ dim $X$ . We also derive a parabolic Tautological inequality for smooth logarithmic pairs.

Keywords

Nevanlinna Second Main Theorem tautological inequality parabolic manifold holomorphic map logarithmic pair

Cite

@article{arxiv.2411.12337,
  title  = {Nevanlinna Second Main Theorem and tautological inequality for parabolic manifolds},
  author = {Clara Derand},
  journal= {arXiv preprint arXiv:2411.12337},
  year   = {2024}
}

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