The pseudo-effective cone of a non-Kählerian surface and applications
By A. Teleman. 2006
66 citations recorded by the source corpus.
AbstractWe describe the positive cone and the pseudo-effective cone of a non-Kählerian surface. We use these results for two types of applications:1. Describe the set of possible total Ricci scalars associated with Gauduchon metrics of fixed volume 1 on a fixed non-Kählerian surface, and decide whether the assignment is a deformation invariant.2. Study the stability of the canonical extension of a class VII surface X with positive b2. This extension plays an important role in our strategy to prove existence of curves on class VII surfaces, using gauge theoretical methods [Te2].Our main tools are Buchdahl ampleness criterion for non-Kählerian surfaces [Bu2] and the recent results of Dloussky-Oeljeklaus-Toma [DOT] and Dloussky [D] on class VII surfaces with curves.
Subfields: Applied Mathematics, Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/16bd8521e0511eee1a66d640f964e5f59fc794d9
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In Applied Mathematics
- Xiaokui Yang
- Cristiano Spotti
- Simone Calamai
- Daniele Angella
- Valentino Tosatti
- Fang Zheng
- J. Stelzig
- Lei Ni
In Geometry and Topology
- Xiaokui Yang
- Cristiano Spotti
- Simone Calamai
- Daniele Angella
- Valentino Tosatti
- Fang Zheng
- J. Stelzig
- Y. Odaka
In Nuclear and High Energy Physics
Citations in the corpus
- On Chern-Yamabe problem (2015, background): “, consider the Inoue surfaces in class VII, compare [19] and Example 5.”
- Morse–Novikov cohomology of locally conformally Kähler manifolds (2007, unknown): “[23]).”
- Scalar curvature on compact complex manifolds (2017, background): “It generalizes a result in [20] which only deals with compact complex surfaces.”