93 citations · 140 across the 34 of their papers we have counts for
4 papers · 2 filters
Moduli of algebraic varieties
Caucher Birkar
We develop a moduli theory of algebraic varieties and pairs of non-negative Kodaira dimension. We define stable minimal models and construct their projective coarse moduli spaces u…
Boundedness of Fano type fibrations
Caucher Birkar
In this paper, we prove various results on boundedness and singularities of Fano fibrations and of Fano type fibrations. A Fano fibration is a projective morphism of algeb…
Anticanonical volume of Fano 4-folds
Caucher Birkar
We find an explicit upper bound for the anticanonical volume of Fano 4-folds with canonical singularities.
Variations of generalised pairs
Caucher Birkar, Christopher D. Hacon
In this paper we investigate various properties of generalised pairs in families, especially boundedness of several kinds. We show that many statements for usual pairs do not hold…