Special MMP for log canonical generalised pairs (with an appendix joint with Xiaowei Jiang)

• Vladimir Lazić ^[1] ; Nikolaos Tsakanikas ^[1]
  1. [1] Saarland University

     Saarland University

     Regionalverband Saarbrücken, Alemania

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 28, Nº. 5, 2022
• Idioma: inglés
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• Resumen

  • We show that minimal models of Q-factorial NQC log canonical generalised pairs exist, assuming the existence of minimal models of smooth varieties. More generally, we prove that on a Q-factorial NQC log canonical generalised pair (X, B + M) we can run an MMP with scaling of an ample divisor which terminates, assuming that it admits an NQC weak Zariski decomposition or that KX + B + M is not pseudoeffective. As a consequence, we establish several existence results for minimal models and Mori fibre spaces.