Semi-stable minimal model program for varieties with trivial canonical divisor

By O. Fujino. 2010

74 citations recorded by the source corpus.

We give a sufficient condition for the termination of flips. Then we discuss a semi-stable minimal model program for varieties with (numerically) trivial canonical divisor as an application. We also treat a slight refinement of dlt blow-ups.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/17b29f6b8aade7349bd374c04d3755707dbd1ef6

How researchers see this paper

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

In Computational Theory and Mathematics

1. Johannes Nicaise
2. Chenyang Xu
3. C. Birkar

In Geometry and Topology

1. Chenyang Xu
2. Johannes Nicaise
3. C. Birkar
4. M. Temkin
5. Y. Odaka
6. Christopher D. Hacon
7. H. Blum
8. O. Fujino

In Statistical and Nonlinear Physics

1. Chenyang Xu
2. Johannes Nicaise
3. C. Birkar

Citations in the corpus

• The essential skeleton of a degeneration of algebraic varieties (2013, background): “XK) is of dimension n= dim(XK). Then Sk(XK) is an n-dimensional closed pseudo-manifold. Proof. By running MMP for Y over C, we know that Xhas a good minimal dlt model X with reduced special fiber (see [Fu11] or [HX13]). Then one sees as in the proof of Theorem 4.1.4 that KX is trivial over C. Our ass”
• Existence of log canonical flips and a special LMMP (2011, background): “Fujino [12] proved it for lc pairs in dimension 4.”