Moduli of K-stable Varieties

• Corporate Author: SpringerLink (Online service)
• Other Authors: Codogni, Giulio (Editor, http://id.loc.gov/vocabulary/relators/edt), Dervan, Ruadhaí (Editor, http://id.loc.gov/vocabulary/relators/edt), Viviani, Filippo (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Springer INdAM Series, 31
• Subjects: Algebraic geometry.; Geometry.; Functions of complex variables.; Algebraic Geometry.; Several Complex Variables and Analytic Spaces.

This volume is an outcome of the workshop "Moduli of K-stable Varieties", which was held in Rome, Italy in 2017. The content focuses on the existence problem for canonical Kähler metrics and links to the algebro-geometric notion of K-stability. The book includes both surveys on this probl...

Table of Contents:

• 1 F. Ambro and J. Kollár, Minimal Models of semi-log-canonical pairs
• 2 G. Codogni and J. Stoppa, Torus Equivariant K-stability
• 3 K. Fujita, Notes on K-semistability of topic polarized surfaces
• 4 E. Legendre, A note on extremal toric almost Kähler metrics
• 5 Y. Odaka, Tropical geometric compactification of moduli, I - M_g case
• 6 Z. Sjöström Dyrefelt, A partial comparison of stability notions in Kähler geometry
• 7 C. Spotti, Kähler-Einstein metrics via moduli continuity
• 8 X. Wang, GIT stability, K-stability and moduli space of Fano varieties.