國立虎尾科技大學 |

Moduli of K-stable Varieties

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Moduli of K-stable Varieties/ edited by Giulio Codogni, Ruadhaí Dervan, Filippo Viviani.
other author:	Codogni, Giulio.
Description:	XIII, 181 p. 18 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Algebraic geometry. -
Online resource:	https://doi.org/10.1007/978-3-030-13158-6
ISBN:	9783030131586

Moduli of K-stable Varieties
Moduli of K-stable Varieties[electronic resource] /edited by Giulio Codogni, Ruadhaí Dervan, Filippo Viviani. - 1st ed. 2019. - XIII, 181 p. 18 illus.online resource. - Springer INdAM Series,312281-518X ;. - Springer INdAM Series,12.

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.

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 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 Kähler and almost-Kähler 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 Kähler-Einstein metrics.

ISBN: 9783030131586

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

1255324
Algebraic geometry.

LC Class. No.: QA564-609

Dewey Class. No.: 516.35

Moduli of K-stable Varieties
LDR:03092nam a22004095i 4500 001 1010854
003 DE-He213
005 20200702125249.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030131586 $9 978-3-030-13158-6
024 7 $a 10.1007/978-3-030-13158-6 $2 doi
035 $a 978-3-030-13158-6
050 4 $a QA564-609
072 7 $a PBMW $2 bicssc
072 7 $a MAT012010 $2 bisacsh
072 7 $a PBMW $2 thema
082 0 4 $a 516.35 $2 23
245 1 0 $a Moduli of K-stable Varieties $h [electronic resource] / $c edited by Giulio Codogni, Ruadhaí Dervan, Filippo Viviani.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a XIII, 181 p. 18 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Springer INdAM Series, $x 2281-518X ; $v 31
505 0 $a 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.
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 Kähler 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 Kähler and almost-Kähler 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 Kähler-Einstein metrics.
650 0 $a Algebraic geometry. $3 1255324
650 0 $a Geometry. $3 579899
650 0 $a Functions of complex variables. $3 528649
650 1 4 $a Algebraic Geometry. $3 670184
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 672032
700 1 $a Codogni, Giulio. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1228523
700 1 $a Dervan, Ruadhaí. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1304953
700 1 $a Viviani, Filippo. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1228525
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030131579
776 0 8 $i Printed edition: $z 9783030131593
776 0 8 $i Printed edition: $z 9783030131609
830 0 $a Springer INdAM Series, $x 2281-518X ; $v 12 $3 1257908
856 4 0 $u https://doi.org/10.1007/978-3-030-13158-6
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)