Showing 2026Show all
3 papers · 1 filter
math.AG2026
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…
math.AG2026
Twelve common flex lines in a general pencil of cubics
Jihao Liu, Yanze Wang
We prove that a general pencil of plane cubics over has exactly common flex lines. This answers a question of Ciliberto, Miranda, and Roé. The main result of this…
math.AG2026
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 v…