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Moduli of K-stable varieties

Codogni, Giulio.

Moduli of K-stable varieties

Record Type:	Electronic resources : Monograph/item
Title/Author:	Moduli of K-stable varietiesedited by Giulio Codogni, Ruadhai Dervan, Filippo Viviani.
other author:	Codogni, Giulio.
Published:	Cham :Springer International Publishing :2019.
Description:	xiii, 181 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Geometry, AlgebraicTextbooks.
Online resource:	https://doi.org/10.1007/978-3-030-13158-6
ISBN:	9783030131586$q(electronic bk.)

Moduli of K-stable varieties
Moduli of K-stable varieties[electronic resource] /edited by Giulio Codogni, Ruadhai Dervan, Filippo Viviani. - Cham :Springer International Publishing :2019. - xiii, 181 p. :ill., digital ;24 cm. - Springer INdAM series,v.312281-518X ;. - Springer INdAM series ;v.6..

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. Sjostrom 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.

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.

ISBN: 9783030131586$q(electronic bk.)

Standard No.: 10.1007/978-3-030-13158-6doiSubjects--Topical Terms:

438731
Geometry, Algebraic
--Textbooks.

LC Class. No.: QA564 / .M63 2019

Dewey Class. No.: 516.35

Moduli of K-stable varieties
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505 0 $a 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. Sjostrom 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.
520 $a 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.
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