Moduli of K-stable Varieties
著者
書誌事項
Moduli of K-stable Varieties
（Springer INdAM series / editor in chief V. Ancona, v. 31）
Springer, c2019
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注記
Includes bibliographical references(p. 180-181)
内容説明・目次
内容説明
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 Kahler metrics and links to the algebro-geometric notion of K-stability. The book includes both surveys on this problem, notably in the case of Fano varieties, and original contributions addressing this and related problems. The papers in the latter group develop the theory of K-stability; explore canonical metrics in the Kahler and almost-Kahler settings; offer new insights into the geometric significance of K-stability; and develop tropical aspects of the moduli space of curves, the singularity theory necessary for higher dimensional moduli theory, and the existence of minimal models. Reflecting the advances made in the area in recent years, the survey articles provide an essential overview of many of the most important findings. The book is intended for all advanced graduate students and researchers who want to learn about recent developments in the theory of moduli space, K-stability and Kahler-Einstein metrics.
目次
1 F. Ambro and J. Kollar, 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 Kahler metrics.- 5 Y. Odaka, Tropical geometric compactification of moduli, I - M_g case.- 6 Z. Sjoestroem Dyrefelt, A partial comparison of stability notions in Kahler geometry.- 7 C. Spotti, Kahler-Einstein metrics via moduli continuity.- 8 X. Wang, GIT stability, K-stability and moduli space of Fano varieties.
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