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September 24, 2025Open Access

Tropical Nevanlinna theory of several variables

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Authors

TCTingbin CaoJPJiming Peng

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Overview

This paper develops a tropical Nevanlinna theory, revealing new insights into tropical holomorphic maps and growth behaviors.

Key Points

  • The study establishes higher-dimensional Nevanlinna theory in tropical geometry, emphasizing new function types.
  • Key findings include the development of essential tropical meromorphic functions and their properties.
  • The second main theorem provides a significant inequality relating tropical maps, counting functions, and degrees.
  • This research makes substantial contributions to the understanding of intersections with tropical hypersurfaces.

Cite This Study

Cao et al. (2025) studied this question.

synapsesocial.com/papers/68d6e0fc8b2b6861e4c3f3c4https://doi.org/10.48550/arxiv.2508.20480
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