REVIEW 3 cited by
Log canonical pairs with boundaries containing ample divisors
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
Let $(X,\Delta)$ be a projective log canonical pair such that $\Delta \geq A$ where $A \geq 0$ is an ample $\mathbb{R}$-divisor. We prove that either $(X,\Delta)$ has a good minimal model or a Mori fibre space. Moreover, if $X$ is $\mathbb{Q}$-factorial, then any Log Minimal Model Program on $K_X+\Delta$ with scaling terminates. As an application we prove that a log Fano type variety $X$ with $\mathbb{Q}$-factorial log canonical singularities is a Mori dream space.
Forward citations
Cited by 3 Pith papers
-
$P$-trivial MMP, Zariski decompositions and minimal models for generalised pairs
A P-trivial MMP is introduced and used to show that several classes of generalised klt and lc pairs with Nakayama-Zariski decompositions have minimal models.
-
Minimal model program for normal pairs along log canonical locus in complex analytic setting
The complex analytic analog of the minimal model program for normal pairs along the log canonical locus holds: under a semi-ampleness hypothesis on the non-lc locus, an MMP sequence exists and terminates at a good min...
-
Addendum: On generalized canonical bundle formula and boundedness of complements in complex analytic setting
Proves generalized canonical bundle formula for lc-trivial fibrations without nef part assumption in complex analytic setting, plus algebraic counterpart.
Discussion (0). Continue with ORCID to comment.