Every general type MMP in dimension at most five terminates; explicit step-count bounds are given in dimensions three and four.
On the strong Sarkisov program
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We showed that the strong Sarkisov Program of dimension $d$ can be derived from termination of specific log flips in dimension $\leq d-1$. As a corollary, we show that the strong Sarkisov Program holds in dimension 4. Additionally, we prove the weak Sarkisov program with decreasing (augmented) Sarkisov degree. Finally, using the theory of syzygies of Mori fibre spaces, we obtain a directed diagram that encodes all the information of the strong Sarkisov Program.
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.