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math.AG2020
Singularities on toric fibrations
Caucher Birkar, Yifei Chen
In this paper we investigate singularities on toric fibrations. In this context we study a conjecture of Shokurov (a special case of which is due to M$^\rm{c}$Kernan) which roughly…
math.AG2020
Generalised pairs in birational geometry
Caucher Birkar
In this note we introduce generalised pairs from the perspective of the evolution of the notion of space in birational algebraic geometry. We describe some applications of generali…