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20162022
most citedThe Nonvanishing problem for varieties with nef anticanonical bundle

11 citations · 11 across the 1 of their papers we have counts for

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13 papers

math.AG2022★ 11 cited

The Nonvanishing problem for varieties with nef anticanonical bundle

Vladimir Lazić, Shin-ichi Matsumura, Thomas Peternell +2

We prove that if is a threefold pair with mild singularities such that is nef, then the numerical class of is effective.

math.AG2021

Special MMP for log canonical generalised pairs

Vladimir Lazić, Nikolaos Tsakanikas, with an appendix joint with Xiaowei Jiang

We show that minimal models of -factorial NQC log canonical generalised pairs exist, assuming the existence of minimal models of smooth varieties. More generally, we pr…

math.AG2020

Special termination for log canonical pairs

Vladimir Lazić, Joaquín Moraga, Nikolaos Tsakanikas

We prove the special termination for log canonical pairs and its generalisation in the context of generalised pairs.

math.AG2019

Birational geometry and the canonical ring of a family of determinantal 3-folds

Vladimir Lazić, Frank-Olaf Schreyer

Few explicit families of 3-folds are known for which the computation of the canonical ring is accessible and the birational geometry non-trivial. In this note we investigate a fami…

math.AG2019

Abundance for uniruled pairs which are not rationally connected

Vladimir Lazić

One of the central aims of the Minimal Model Program is to show that a projective log canonical pair with pseudoeffective has a good model, i.e.\ a minimal model $(…

math.AG2019

On Nonvanishing for uniruled log canonical pairs

Vladimir Lazić, Fanjun Meng

We prove the Nonvanishing conjecture for uniruled projective log canonical pairs of dimension , assuming the Nonvanishing conjecture for smooth projective varieties in dimension…