Pushforwards of klt pairs under morphisms to abelian varieties

Meng, Fanjun

doi:10.1007/s00208-021-02205-7

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Conjecture 14 ([Pop22]1

Introduction1

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2021

2024

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Cited by 9 publications

(2 citation statements)

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“…For the proofs of the main theorems, we employ results from [Men21], techniques from [MP21], a hyperbolicity-type result from [PS17], and arguments on positivity properties of coherent sheaves.…”

Section: Conjecture 14 ([Pop22]mentioning

confidence: 99%

“…We will use this observation in the proofs of our main theorems. The decomposition above is called the Chen-Jiang decomposition of F. It is known that pushforwards of pluricanonical bundles under morphisms to abelian varieties have the Chen-Jiang decomposition by [CJ18, PPS17, LPS20] in increasing generality, and pushforwards of klt pairs under morphisms to abelian varieties have the Chen-Jiang decomposition, as proved independently in [Jia21] and [Men21].…”

Section: Introductionmentioning

confidence: 98%

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