Pushforwards of klt pairs under morphisms to abelian varieties

Meng, Fanjun

doi:10.1007/s00208-021-02205-7

Search citation statements

Order By: Relevance

Paper Sections

Select...

Conjecture 14 ([Pop22]1

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2021

2024

Publication Types

Select...

Article5

Other1

Relationship

Self Cite1

Independent5

Authors

Journals

Cited by 10 publications

(2 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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%

See 1 more Smart Citation