The X-method for klt surfaces in positive characteristic
By Hiromu Tanaka. 2012
50 citations recorded by the source corpus.
In this paper, we establish a weak version of the Kodaira vanishing theorem for surfaces in positive characteristic. As an application, we obtain some fundamental theorems in the minimal model theory for klt surfaces.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/f76ec7d753fb28a2430860342dd1769c0a060af1
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In Geometry and Topology
- Christopher D. Hacon
- C. Birkar
- Chi Li
- J. McKernan
- Mihnea Cristian Popa
- C. Schnell
- Hiromu Tanaka
- O. Fujino
Citations in the corpus
- Minimal Models and Abundance for Positive Characteristic Log Surfaces (2012, unknown): “In [T], the author established a weak Kodaira vanishing theorem for positive characteristic surfaces and established a base-point-free theorem for klt surfaces.”
- On the three dimensional minimal model program in positive characteristic (2013, background): “We then run the minimal model program for (S′, BS′) over S and we obtain a relative minimal model μ : S′ → S̄ with a morphism ν : S̄ → S (see [KK], [Tanaka12a]).”