Boundedness of slc degenerations of polarized log Calabi–Yau pairs

Jiao, Junpeng

Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e144

Résumé

Given a family of pairs over a smooth curve whose general fiber is a log Calabi–Yau pair in a fixed bounded family, suppose there exists a divisor on the family whose restriction on a general fiber is ample with bounded volume. We show that if the total space of the family has relatively trivial log canonical divisor and the special fiber has slc singularities, then every irreducible component of the special fiber is birationally bounded.

Détail

DOI : 10.1017/fms.2024.149

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