Meromorphic mappings into projective varieties with arbitrary families of moving hypersurfaces

DOI10.1007/s12220-021-00765-3zbMath1487.32088arXiv2012.07840OpenAlexW4226312051MaRDI QIDQ2074507

Si Duc Quang

Publication date: 10 February 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.07840

zbMATH Keywords

second main theoremmoving hyperplanesmeromorphic mappings on $\mathbb C^n$

Mathematics Subject Classification ID

Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Value distribution theory in higher dimensions (32H30)

Related Items (3)

An effective function field version of Schmidt's subspace theorem for projective varieties, with arbitrary families of homogeneous polynomials ⋮ Holomorphic maps from complex discs intersecting hypersurfaces of projective varieties ⋮ Value distribution theory on angular domains for holomorphic mappings and arbitrary families of moving hypersurfaces

Cites Work

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• Cartan-Nochka theorem with truncated counting functions for moving targets
• Second main theorem for meromorphic mappings with moving hypersurfaces in subgeneral position
• Holomorphic curves into algebraic varieties intersecting moving hypersurface targets
• Cartan's conjecture for moving hypersurfaces
• Holomorphic curves into algebraic varieties
• A note on entire pseudo-holomorphic curves and the proof of Cartan-Nochka's theorem
• On a General Form of the Second Main Theorem
• A defect relation for holomorphic curves intersecting hypersurfaces
• Degeneracy second main theorems for meromorphic mappings into projective varieties with hypersurfaces
• On a general Thue's equation

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