From the 1 of 5 linked papers with an AI index.
5 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…
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…
Flop between algebraically integrable foliations on potentially klt varieties
Yifei Chen, Jihao Liu, Yanze Wang
We prove that for any two minimal models of an lc algebraically integrable foliated triple on potentially klt varieties, there exist small birational models that are connected by a…