Fundamental theorems for semi log canonical pairs
By O. Fujino. 2012
100 citations recorded by the source corpus.
We prove that every quasi-projective semi log canonical pair has a quasi-log structure with several good properties. It implies that various vanishing theorems, torsion-free theorem, and the cone and contraction theorem hold for semi log canonical pairs.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/787abef15aa9eb2ad65c807285d6a5280d1559c3
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In Algebra and Number Theory
In Geometry and Topology
- O. Fujino
- Christopher D. Hacon
- C. Birkar
- Chenyang Xu
- Stefano Filipazzi
- F. Catanese
- Ingrid Bauer
- Shin-ichi Matsumura
Citations in the corpus
- A TRANSCENDENTAL APPROACH TO KOLL AR'S INJECTIVITY THEOREM II (2007, background): “We note that the arguments in [11], [12], [14], [15], and [16] are geometric.”
- Semipositivity theorems for moduli problems (2012, methodology): “Our proofs depend on [FF14], some ideas in [Fn14], and Viehweg’s covering arguments.”