From the 1 of 11 linked papers with an AI index.
11 papers
A klt generalized pair with infinitely generated canonical ring
Jihao Liu, Yanze Wang
We construct a projective klt generalized pair over the complex numbers whose generalized log canonical ring is not finitely generated. The main result of this paper is obtained by…
Twelve common flex lines in a general pencil of cubics
Jihao Liu, Yanze Wang
The authors prove that a general pencil of plane cubic curves over the complex numbers has exactly twelve common flex lines, answering a question of Ciliberto, Miranda, and Roé.
A counterexample to the odd-dimensional rank bound for abelian \texorpdfstring{}{p}-group actions
Jihao Liu, Yanze Wang
We disprove the odd-dimensional extension, conjectured by Moraga and recorded by Kollár and Zhuang, of the rank bound for faithful abelian -group actions on smooth Calabi--Yau…
Effective termination of general type MMPs in dimension at most five
Jingjun Han, Jihao Liu, Ziquan Zhuang
We prove the effective termination of general type MMPs in dimension at most , and give explicit bounds (in terms of topological invariants and volume of divisors) on the number…
Sarkisov program for algebraically integrable and threefold foliations
Yifei Chen, Jihao Liu, Yanze Wang
By applying the theory of the minimal model program for adjoint foliated structures, we establish the Sarkisov program for algebraically integrable foliations on klt varieties: any…
On finite generation and boundedness of adjoint foliated structures
Paolo Cascini, Jingjun Han, Jihao Liu +4
We prove the existence of good minimal models for any klt algebraically integrable adjoint foliated structure of general type, and that Fano algebraically integrable adjoint foliat…