On the nilpotent orbit theorem of complex variations of Hodge structure

Ya Deng

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On the nilpotent orbit theorem of complex variations of Hodge structure

Ya Deng

Algebraic Geometry · Submitted 8 Mar 2022

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

The authors' main claim We prove some results on the nilpotent orbit theorem for complex variation of Hodge structures.

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We prove some results on the nilpotent orbit theorem for complex variation of Hodge structures.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We prove some results on the nilpotent orbit theorem for complex variation of Hodge structures.	contribution 0.98	0.94	0.84	asserted 1.00

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We prove some results on the nilpotent orbit theorem for complex variation of Hodge structures.

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2 arXiv papers cite this in 7 sentences

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Uses its method or tool 1 paper

By the lemma above and by [ref] , we can apply Lemma 1.10 of [ref] to $(F^p(_U ⊗), h)$ and obtain the conclusion.

A remark on the nilpotent orbit theorem for unipotent complex variations of Hodge structure · Nilpotent orbit theorem · 0.82

Cites it as background 2 papers

(For the definition of a complex variation of Hodge structure, see [ref] .) Throughout this paper, we assume that $(, F, Q)$ is unipotent, that is, all the monodromy automorphisms along the irreducible components of $D$ are unipotent.

A remark on the nilpotent orbit theorem for unipotent complex variations of Hodge structure · Introduction · 1.00
[ref] Let $X$ be a complex manifold and let $D = ∑_i=1^r D_i$ be a simple normal crossing divisor on $X$.

On the Kodaira--Saito vanishing theorem of weakly ample divisor · Preliminaries · 0.93

What it cites · 7 sentences without a confident label

Compares with 1 paper

<ref> were also proved by Sabbah and Schnell [ref] for the case of one variable in a different way.

Degenerating complex variations of Hodge structure in dimension one · Introduction · 0.94

Cites as background 1 paper

We recall this construction briefly and refer the readers to [ref] for more details.

Degenerating complex variations of Hodge structure in dimension one · Deligne extension · 0.98

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