93 citations · 133 across the 19 of their papers we have counts for
Showing 2009 · math.AGShow all
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math.AG2009
On existence of log minimal models and weak Zariski decompositions
Caucher Birkar
We first introduce a weak type of Zariski decomposition in higher dimensions: an -Cartier divisor has a weak Zariski decomposition if birationally and in a numerical sense it c…
math.AG2009
On existence of log minimal models II
Caucher Birkar
We prove that the existence of log minimal models in dimension essentially implies the LMMP with scaling in dimension . As a consequence we prove that a weak nonvanishing co…
math.AG2009★ 6 cited
Minimal models, flips and finite generation : a tribute to V.V. SHOKUROV and Y.-T. SIU
Caucher Birkar, Mihai Paun
In this paper, we discuss a proof of existence of log minimal models or Mori fibre spaces for klt pairs with big. This then implies existence of klt log flips, fi…