LEADER 04012nam 22005775 450 001 9910338249803321 005 20200702125249.0 024 7 $a10.1007/978-3-030-13158-6 035 $a(CKB)4100000008525420 035 $a(DE-He213)978-3-030-13158-6 035 $a(MiAaPQ)EBC5802518 035 $a(PPN)258305193 035 $a(EXLCZ)994100000008525420 100 $a20190627d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aModuli of K-stable Varieties /$fedited by Giulio Codogni, Ruadhaí Dervan, Filippo Viviani 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XIII, 181 p. 18 illus.) 225 1 $aSpringer INdAM Series,$x2281-518X ;$v31 300 $a"This volume contains a collection of papers related to research presented at the INdAM Workshop "Moduli of K-stable vaieties", which was held in Rome, from 10 to 14 July 2017, at Sapienza Universita di Roma." 311 $a3-030-13158-0 311 $a3-030-13157-2 327 $a1 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. 330 $aThis volume is an outcome of the workshop "Moduli of K-stable Varieties", which was held in Rome, Italy in 2017. The content focuses on the existence problem for canonical Kähler metrics and links to the algebro-geometric notion of K-stability. The book includes both surveys on this problem, notably in the case of Fano varieties, and original contributions addressing this and related problems. The papers in the latter group develop the theory of K-stability; explore canonical metrics in the Kähler and almost-Kähler settings; offer new insights into the geometric significance of K-stability; and develop tropical aspects of the moduli space of curves, the singularity theory necessary for higher dimensional moduli theory, and the existence of minimal models. Reflecting the advances made in the area in recent years, the survey articles provide an essential overview of many of the most important findings. The book is intended for all advanced graduate students and researchers who want to learn about recent developments in the theory of moduli space, K-stability and Kähler-Einstein metrics. 410 0$aSpringer INdAM Series,$x2281-518X ;$v31 606 $aAlgebraic geometry 606 $aGeometry 606 $aFunctions of complex variables 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 606 $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006 606 $aSeveral Complex Variables and Analytic Spaces$3https://scigraph.springernature.com/ontologies/product-market-codes/M12198 615 0$aAlgebraic geometry. 615 0$aGeometry. 615 0$aFunctions of complex variables. 615 14$aAlgebraic Geometry. 615 24$aGeometry. 615 24$aSeveral Complex Variables and Analytic Spaces. 676 $a516.35 676 $a516.35 702 $aCodogni$b Giulio$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aDervan$b Ruadhaí$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aViviani$b Filippo$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910338249803321 996 $aModuli of K-stable Varieties$91732596 997 $aUNINA