Ascending chain condition for log canonical thresholds and termination of log flips

76 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Existence of flips and minimal models for 3-folds in char p (2013, background): “With some work it seems that using the above ACC one can actually prove termination for those lc pairs (X,B) of dimension 3 such that KX + B ≡ M for some M ≥ 0 following the ideas in [4].”
Existence of minimal models for varieties of log general type (2006, unknown): “Moreover, if κ(X,KX + ∆) ≥ 0, Birkar has shown [2] that it suffices to establish acc for log canonical thresholds and the MMP in dimension one less.”
LOG CANONICAL THRESHOLDS OF SMOOTH FANO THREEFOLDS (2008, unknown): “[8]).”
Extension theorems, non-vanishing and the existence of good minimal models (2010, background): “Following [Birkar07] it seems likely that (1.2) in dimension n and (8.4) in dimension n− 1 imply the termination of flips for any pseudo-effective n-dimensional lc pair.”
ACC for log canonical thresholds (2012, background): “A priori , to calculate the log discrepancy c , one should take a log resolution of the pair ( X = C 2 , C ), write down the log discrepancy of every exceptional divisor E i with respect to the pair ( X, tC ) as a function of t , and then ﬁnd out the largest value c of t for which all of these log…”