6 citations · 21 across the 7 of their papers we have counts for
7 papers
Rigidity of projective symmetric manifolds of Picard number 1 associated to composition algebras
Yifei Chen, Baohua Fu, Qifeng Li
To each complex composition algebra , there associates a projective symmetric manifold of Picard number one, which is just a smooth hyperplane section o…
Singularities on toric fibrations
Caucher Birkar, Yifei Chen
In this paper we investigate singularities on toric fibrations. In this context we study a conjecture of Shokurov (a special case of which is due to M$^\rm{c}$Kernan) which roughly…
On singularities of threefold weighted blowups
Yifei Chen
We answer a question raised by Caucher Birkar for singularities of weighted blowups of , if .
Iitaka's conjecture for 3-folds over finite fields
Caucher Birkar, Yifei Chen, Lei Zhang
We prove Iitaka's conjecture for -folds over the algebraic closure of finite fields. Along the way we prove some results on the birational geometry of log surfaces ove…
The subadditivity of the Kodaira Dimension for Fibrations of Relative Dimension One in Positive Characteristics
Yifei Chen, Lei Zhang
Let be a separable fibration of relative dimension 1 between smooth projective varieties over an algebraically closed field of positive characteristic. We pr…
On the moduli part of the Kawamata-Kodaira canonical bundle formula
Caucher Birkar, Yifei Chen
It is conjectured that the moduli b-divisor of the Kawamata-Kodaira canonical bundle formula associated to a klt-trivial fibration is semi-ample. In this paper, we sho…
Strong rational connectedness of toric varieties
Yifei Chen, Vyacheslav Shokurov
In this paper, we prove that: For any given finitely many distinct points and a closed subvariety of codimension in a complete toric variety over a uncou…