What question did this study set out to answer?

The aim is to generalize a theorem in value distribution theory for entire curves to holomorphic maps from the unit disc into subvarieties of semi-abelian varieties.

July 24, 2026Publications of the Research Institute for Mathematical SciencesOpen Access

Bloch’s Principle for Holomorphic Maps into Subvarieties of Semi-Abelian Varieties

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The aim is to generalize a theorem in value distribution theory for entire curves to holomorphic maps from the unit disc into subvarieties of semi-abelian varieties.
Generalization of a fundamental theorem in higher-dimensional value distribution theory.
Analysis of holomorphic maps from the unit disc into subvarieties of semi-abelian varieties.
Improvement of a classical theorem by Cartan regarding holomorphic functions.
Subvarieties of log general type in semi-abelian varieties are shown to be pseudo-Kobayashi hyperbolic.
Improvement of Borel's identity for nowhere vanishing holomorphic functions.

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Implication

Generalized theorem demonstrates pseudo-Kobayashi hyperbolicity in semi-abelian varieties, suggesting new implications.

Cite This Study

Katsutoshi Yamanoi (2026) studied this question.

synapsesocial.com/papers/6a62ffef395161722cd150ae https://doi.org/10.4171/prims/62-3-1

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Bloch’s Principle for Holomorphic Maps into Subvarieties of Semi-Abelian Varieties

Key Points

Discussion

Implication

Cite This Study

Bloch’s Principle for Holomorphic Maps into Subvarieties of Semi-Abelian Varieties

Key Points

Discussion

Implication

Cite This Study

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