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

Chen Jiang; Haidong Liu

doi:10.2140/ant.2021.15.545

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 nonklt lc log Calabi–Yau pairs in dimension $4$ .

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Chen Jiang. Haidong Liu. "Boundedness of log pluricanonical representations of log Calabi–Yau pairs in dimension 2." Algebra Number Theory 15 (2) 545 - 567, 2021. https://doi.org/10.2140/ant.2021.15.545

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Received: 8 April 2020; Revised: 8 July 2020; Accepted: 11 September 2020; Published: 2021

First available in Project Euclid: 23 June 2021

Digital Object Identifier: 10.2140/ant.2021.15.545

Subjects:

Primary: 14E30

Secondary: 14E07 , 14J32

Keywords: boundedness , index conjecture , log pluricanonical representation

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