Boundedness of log pluricanonical representations of log Calabi-Yau pairs in dimension 2

Abstract

We show the boundedness of B-pluricanonical representations of lc log Calabi-Yau pairs in dimension $2$. As applications, we prove the boundedness of indices of slc log Calabi-Yau pairs up to dimension $3$ and that of non-klt lc log Calabi-Yau pairs in dimension $4$.

19 pages, comments are welcome

Cited by in corpus (2)

• Relations between indices of Calabi--Yau varieties and pairs
• Smooth Calabi-Yau varieties with large index and Betti numbers