Bimeromorphic geometry of Kahler threefolds

被引:6
|
作者
Hoering, Andreas [1 ]
Peternell, Thomas [2 ]
机构
[1] Univ Cote Dazur, CNRS, LJAD, Nice, France
[2] Univ Bayreuth, Math Inst, D-95440 Bayreuth, Germany
来源
ALGEBRAIC GEOMETRY: SALT LAKE CITY 2015, PT 1 | 2018年 / 97卷
关键词
COMPACT KAHLER; MINIMAL MODELS; KODAIRA DIMENSION; VANISHING THEOREM; SINGULAR SPACES; TERMINATION; VARIETIES; MANIFOLDS; ABUNDANCE; CRITERION;
D O I
10.1090/pspum/097.1/01679
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We describe the recently established minimal model program for (non-algebraic) Kahler threefolds as well as the abundance theorem for these spaces.
引用
收藏
页码:381 / 402
页数:22
相关论文
共 50 条
  • [11] Generalized Kahler Geometry
    Gualtieri, Marco
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2014, 331 (01) : 297 - 331
  • [12] COMPACT KAHLER THREEFOLDS WITH THE ACTION OF AN ABELIAN GROUP OF MAXIMAL RANK
    Zhong, Guolei
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 150 (01) : 55 - 68
  • [13] Finite time collapsing of the Kahler-Ricci flow on threefolds
    Tosatti, Valentino
    Zhang, Yuguang
    ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2018, 18 (01) : 105 - 118
  • [14] Special Kahler geometry and holomorphic Lagrangian fibrations
    Li, Yang
    Tosatti, Valentino
    COMPTES RENDUS MATHEMATIQUE, 2024, 362 : 171 - 196
  • [15] A uniqueness theorem in Kahler geometry
    Guan, Pengfei
    Li, Qun
    Zhang, Xi
    MATHEMATISCHE ANNALEN, 2009, 345 (02) : 377 - 393
  • [16] ON QUANTUM SPECIAL KAHLER GEOMETRY
    Bellucci, Stefano
    Marrani, Alessio
    Roychowdhury, Raju
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2010, 25 (09): : 1891 - 1935
  • [17] On non-Kahler Calabi-Yau Threefolds with Balanced Metrics
    Fu, Jixiang
    PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL II: INVITED LECTURES, 2010, : 705 - 716
  • [18] Ricci curvature in Kahler geometry
    Sun, Song
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2017, 28 (09)
  • [19] Strictly nef divisors on singular threefolds
    Wang, Juanyong
    Zhong, Guolei
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2024, 35 (13)
  • [20] Irreducible vector bundles on some elliptic non-Kahler threefolds
    Brinzanescu, Vasile
    Vuletescu, Victor
    JOURNAL OF GEOMETRY AND PHYSICS, 2015, 91 : 141 - 145