On the boundedness of $n$-folds with $\kappa(X)=n-1$

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arxiv 2005.05508 v3 pith:GY2GHYIM submitted 2020-05-12 math.AG

Stefano Filipazzi This is my paper · ORCID

classification math.AG

keywords deltakappaboundedboundednesscertainconditionsfoldsminimal

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abstract

In this note we study certain sufficient conditions for a set of minimal klt pairs $(X,\Delta)$ with $\kappa(X,\Delta)=\dim(X)-1$ to be bounded.

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Discreteness of volumes of divisors on Calabi-Yau type varieties
math.AG 2025-08 conditional novelty 7.0 of 10

Volumes of integral divisors on epsilon-lc Calabi-Yau pairs lie in a fixed discrete set, settling Birkar's boundedness conjecture for polarized log Calabi-Yau pairs.