8 citations · 9 across the 8 of their papers we have counts for
11 papers
A semiampleness result for hyperkähler fourfolds and smoothings of Lagrangian subvarieties
Andreas Höring, Vladimir Lazić, Christian Lehn
We give a geometric proof of the following statement: let be a smooth hyperkähler fourfold such that the Picard group is generated by a line bundle that is nef, non-trivial…
Generalised Cone Conjecture, III: Non-generic Sakai surfaces
Vladimir Lazić, Isabel Stenger, Zhixin Xie
We show that no meaningful version of the Cone Conjecture holds for non-generic Sakai surfaces.
Generalised Cone Conjecture, II: Generic Sakai surfaces
Vladimir Lazić, Isabel Stenger, Zhixin Xie
In this paper we prove that the Generalised Cone Conjecture holds for generic Sakai surfaces, which completes the proof of the Generalised Cone Conjecture in dimension two. Further…
Generalised Cone Conjecture, I: Beyond Calabi--Yau
Vladimir Lazić, Isabel Stenger, Zhixin Xie
This is the first of two papers in which we prove the Generalised Cone Conjecture on surfaces.
Nonvanishing results for Kähler varieties
Andreas Höring, Vladimir Lazić, 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…
Metrics with minimal singularities and the Abundance conjecture
Vladimir Lazić
The Abundance conjecture predicts that on a minimal projective klt pair , the adjoint divisor is semiample. When , we give a necessary and su…
Rigid currents in birational geometry
Vladimir Lazić, Zhixin Xie
A rigid current on a compact complex manifold is a closed positive current whose cohomology class contains only one closed positive current. Rigid currents occur in complex dynamic…
A few remarks on effectivity and good minimal models
Vladimir Lazić
We prove several results relating the nonvanishing and the existence of good minimal models of different pairs that have the same underlying variety.
Programming the Minimal Model Program: a proposal
Vladimir Lazić
The aim of this paper is to propose a strategy to implement the Minimal Model Program in modern computer algebra systems.
Nakayama-Zariski decomposition and the termination of flips
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…
The Minimal Model Program Revisited
Paolo Cascini, Vladimir Lazić
We give a light introduction to some recent developments in Mori theory, and to our recent direct proof of the finite generation of the canonical ring.