3 papers
math.AG2025
Nakayama-Zariski decomposition and the termination of flips
Vladimir LaziÄ, Vladimir Lazić, Zhixin Xie
We show that for pseudoeffective projective pairs the termination of one sequence of flips implies the termination of all flips, assuming a natural conjecture on the behaviour of t…
math.AG2025
Nonvanishing results for Kähler varieties
Andreas Höring, Vladimir LaziÄ, Christian Lehn
Nonvanishing theorems play a central role in birational geometry, since they derive geometric consequences from numerical information and constitute a crucial step towards abundanc…
math.AG2024
Metrics with minimal singularities and the Abundance conjecture
Vladimir LaziÄ
The Abundance conjecture predicts that on a minimal projective klt pair , the adjoint divisor is semiample. When , we give a necessary and…