Homogeneous fibrations on log Calabi-Yau varieties

Xu, Jinsong

doi:10.48550/arxiv.1611.01804

Search citation statements

Order By: Relevance

Paper Sections

Select...

Theorem 27 Let a Be An Abelian Variety Acting Faithfully On ...1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2018

Publication Types

Select...

Other1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…One can show that the variety F ⊂ X in the theorem is a fibre of the homogeneous fibration on X induced from the action of A. We refer to [29] for details. Definition 2.8 Let X be a non-uniruled variety.…”

Section: Theorem 27 Let a Be An Abelian Variety Acting Faithfully On ...mentioning

confidence: 99%

Finite $p$-groups of birational automorphisms and characterizations of rational varieties

Xu¹

2018

Preprint

Self Cite

View full text Add to dashboard Cite

We study finite p-subgroups of birational automorphism groups. By virtue of boundedness theorem of Fano varieties, we prove that there exists a constant R(n) such that a rationally connected variety of dimension n over an algebraically closed field is rational if its birational automorphism group contains a p-subgroups of maximal rank for p > R(n). Some related applications on Jordan property are discussed.

show abstract

Section: Theorem 27 Let a Be An Abelian Variety Acting Faithfully On ...mentioning

confidence: 99%