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Holomorphic maps from complex discs intersecting families of hypersurfaces

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Si Duc Quang

Complex Variables · Submitted 24 Dec 2021

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In this paper, we establish second main theorems for holomorphic maps with finite growth index on complex discs intersecting families of hypersurfaces (moving and fixed) in projective varieties, where the small term is detailed estimate for various cases.

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arXiv ID2112.12972 (version 2)
Pith IDEPSOO3EK, Pith's permanent record of this paper and its review
CitationSi Duc Quang. "Holomorphic maps from complex discs intersecting families of hypersurfaces." arXiv:2112.12972 (2021). https://pith.science/paper/EPSOO3EK
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,396 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.23 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.18 · compares with prior results 0.92 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

In this paper, we establish second main theorems for holomorphic maps with finite growth index on complex discs intersecting families of hypersurfaces (moving and fixed) in projective varieties, where the small term is detailed estimate for various cases. Our results are generalizations and extensions of many previous second main theorems for holomorphic maps from $\mathbb C$ intersecting with hypersurfaces (moving and fixed) or moving hyperplanes.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 In this paper, we establish second main theorems for holomorphic maps with finite growth index on complex discs intersecting families of hypersurfaces (moving and fixed) in projective varieties, where the small term is detailed estimate for various cases. contribution 0.64 0.95 0.92 asserted 1.00
s1 Our results are generalizations and extensions of many previous second main theorems for holomorphic maps from $\mathbb C$ intersecting with hypersurfaces (moving and fixed) or moving hyperplanes. interpretation 0.65 0.73 0.12 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

In this paper, we establish second main theorems for holomorphic maps with finite growth index on complex discs intersecting families of hypersurfaces (moving and fixed) in projective varieties, where the small term is detailed estimate for various cases. Our results are generalizations and extensions of many previous second main theorems for holomorphic maps from $\mathbb C$ intersecting with hypersurfaces (moving and fixed) or moving hyperplanes.

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