CANONICAL SINGULAR HERMITIAN METRICS ON RELATIVE CANONICAL BUNDLES

被引：13
作者：
Tsuji, Hajime [1 ]
机构：
[1] Sophia Univ, Dept Math, Chiyoda Ku, Tokyo 1028554, Japan
来源：
AMERICAN JOURNAL OF MATHEMATICS | 2011年 / 133卷 / 06期
关键词：
FIBER SPACES; KAHLER; EXTENSION;
D O I：
10.1353/ajm.2011.0047
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a new class of canonical analytic Zariski decompositions (AZD's in short) called the supercanonical AZD's on the canonical bundles of smooth projective varieties with pseudoeffective canonical classes. We study the variation of the supercanonical AZD (h) over cap (can) under projective deformations and give a new proof of the invariance of plurigenera.
引用
收藏
页码：1469 / 1501
页数：33
相关论文
共 50 条
  • [41] N-electron Slater determinants from nonunitary canonical transformations of fermion operators
    Jimenez-Hoyos, Carlos A.
    Rodriguez-Guzman, R.
    Scuseria, Gustavo E.
    PHYSICAL REVIEW A, 2012, 86 (05):
  • [42] A robust factor analysis model based on the canonical fundamental skew-t distribution
    Lin, Tsung-, I
    Chen, I-An
    Wang, Wan-Lun
    STATISTICAL PAPERS, 2023, 64 (02) : 367 - 393
  • [43] Data-driven hyperelasticity, Part I: A canonical isotropic formulation for rubberlike materials
    Dal, Husnu
    Denli, Funda Aksu
    Acan, Alp Kagan
    Kaliske, Michael
    JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2023, 179
  • [44] Semi-continuity properties of weighted log canonical thresholds of toric plurisubharmonic functions
    Nguyen Xuan Hong
    COMPTES RENDUS MATHEMATIQUE, 2017, 355 (05) : 487 - 492
  • [45] Relative critical exponents, non-vanishing and metrics with minimal singularities
    Paun, Mihai
    INVENTIONES MATHEMATICAE, 2012, 187 (01) : 195 - 258
  • [46] Extension with log-canonical measures and an improvement to the plt extension of Demailly-Hacon-Paun
    Chan, Tsz On Mario
    Choi, Young-Jun
    MATHEMATISCHE ANNALEN, 2022, 383 (3-4) : 943 - 997
  • [47] Kzp Controls Canonical wnt8 Signaling to Modulate Dorsoventral Patterning during Zebrafish Gastrulation
    Yao, Shaohua
    Qian, Meilin
    Deng, Senyi
    Xie, Lifang
    Yang, Hanshuo
    Xiao, Chun
    Zhang, Ting
    Xu, Hong
    Zhao, Xia
    Wei, Yu-quan
    Mo, Xianming
    JOURNAL OF BIOLOGICAL CHEMISTRY, 2010, 285 (53) : 42086 - 42096
  • [48] Relative Elongation of Raw Cotton Fibers as a Result of Adhesion of Fiber Bundles and Action of Tensile Forces
    Rosulov R.K.
    Russian Engineering Research, 2024, 44 (05) : 664 - 667
  • [49] A New Definition of Analytic Adjoint Ideal Sheaves via the Residue Functions of Log-Canonical Measures I
    Chan, Tsz On Mario
    JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (09)
  • [50] No tail co-operates with non-canonical Wnt signaling to regulate posterior body morphogenesis in zebrafish
    Marlow, F
    Gonzalez, EM
    Yin, CY
    Rojo, C
    Solnica-Krezel, L
    DEVELOPMENT, 2004, 131 (01): : 203 - 216
12345