35 citations · 40 across the 15 of their papers we have counts for
16 papers · 1 filter
Two results regarding the variation of K-moduli
Fei Si, Zheng Zhang, Chuyu Zhou
In this note, we prove two results regarding the variation of K-moduli. The first one reveals the relationship between the chamber decomposition for K-semistable domains and the va…
On the shape of the K-semistable domain and wall crossing for K-stability
Chuyu Zhou
Fixing two positive integers and , a positive number , and a positive integer , we prove that the K-semistable domain of the log pair is a ratio…
On K-semistable domains -- more examples
Chuyu Zhou
We compute K-semistable domains for various examples of log pairs.
Boundedness of log Fano pairs with certain K-stability
Konstantin Loginov, Chuyu Zhou
We prove several boundedness results for log Fano pairs with certain K-stability. In particular, we prove that K-semistable log Fano pairs of Maeda type form a log bounded family.…
On multiplicities of fibers of Fano fibrations
Guodu Chen, Chuyu Zhou
In this note, we reduce various conjectures in birational geometry, including Shokurov conjecture on singularities of the base of log Calabi-Yau fibrations of Fano type and bounded…
Degeneration of log Calabi-Yau pairs via log canonical places
Guodu Chen, Chuyu Zhou
Let be a projective log canonical Calabi-Yau pair and an ample -line bundle on , we show that there is a correspondence between lc places of an…
Abundance for large Kodaira dimension
Chuyu Zhou
In this note, we apply the semi-ampleness criterion in Lemma 3.1 to prove many classical results in the study of abundance conjecture. As a corollary, we prove abundance for large…
Weakly special test configurations of log canonical Fano varieties
Guodu Chen, Chuyu Zhou
Let be a strictly log canonical Fano variety, we show that every lc place of complements is dreamy, and there exists a correspondence between weakly special test configurations…
Effective semi-ampleness of Hodge line bundles on curves
Chuyu Zhou
In this note, we prove effective semi-ampleness conjecture due to Prokhorov and Shokurov for a special case, more concretely, for Q-Gorenstein klt-trivial fibrations over smooth pr…
On wall crossing for K-stability
Chuyu Zhou
In this paper, we explore the wall crossing phenomenon for K-stability, and apply it to explain the wall crossing for K-moduli stacks and K-moduli spaces.
Log K-stability of GIT-stable divisors on Fano varieties
Chuyu Zhou
For a given K-polystable Fano variety and a natural number such that is log canonical for some , we show that there exists a rational num…
Product theorem on delta invariants via adding a general boundary
Chuyu Zhou
It's well-known that adding a general boundary would create K-stability. As an application, we reprove product theorem for delta invariants of Fano varieties.
Approximating delta invariants in the sense of complements of plt type
Chuyu Zhou
In this note, we will show that delta invariant of a log Fano pair can be approximated by lc places of complements of plt type if it is no greater than one. Give a log Fano pair wi…
Delta invariants of projective bundles and projective cones of Fano type
Kewei Zhang, Chuyu Zhou
In this paper, we will give a precise formula to compute delta invariants of projective bundles and projective cones of Fano type.
Some criteria for uniform K-stability
Chuyu Zhou, Ziquan Zhuang
We prove some criteria for uniform K-stability of log Fano pairs. In particular, we show that uniform K-stability is equivalent to -invariant having a positive lower bound. Then…
Optimal destabilization of K-unstable Fano varieties via stability thresholds
Harold Blum, Yuchen Liu, Chuyu Zhou
We show that for a K-unstable Fano variety, any divisorial valuation computing its stability threshold induces a non-trivial special test configuration preserving the stability thr…