Every general type MMP in dimension at most five terminates; explicit step-count bounds are given in dimensions three and four.
Boundedness in general type MMP
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We show that in any sequence of a general type MMP, the minimal log discrepancy of singularities takes at most finitely many values, and the fibers of all the extremal contractions and flips belong to a bounded family. A key ingredient in the proof is an analysis of the behavior of local volumes in the MMP.
fields
math.AG 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Effective termination of general type MMPs in dimension at most five
Every general type MMP in dimension at most five terminates; explicit step-count bounds are given in dimensions three and four.