The Frölicher spectral sequence can be arbitrarily non-degenerate

被引：0
|
作者：
Sönke Rollenske
机构：
[1] Universität Bayreuth,
来源：
Mathematische Annalen | 2008年 / 341卷
关键词：
53C56; 55T99; 22E25; 58A14;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The Frölicher spectral sequence of a compact complex manifold X measures the difference between Dolbeault cohomology and de Rham cohomology. If X is Kähler then the spectral sequence collapses at the E1term and no example with dn ≠  0 for n > 3 has been described in the literature.We construct for n ≥  2 nilmanifolds with left-invariant complex structure Xn such that the n-th differential dn does not vanish. This answers a question mentioned in the book of Griffiths and Harris.
引用
收藏
页码：623 / 628
页数：5
相关论文
共 50 条
  • [41] FARADAY EFFECT IN NON-DEGENERATE SEMICONDUCTORS
    DONOVAN, B
    WEBSTER, J
    PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1961, 78 (503): : 120 - &
  • [42] Vector fields with a non-degenerate source
    Ludewig, Matthias
    JOURNAL OF GEOMETRY AND PHYSICS, 2014, 79 : 59 - 76
  • [43] No skew branes on non-degenerate hyperquadrics
    Sha, Ji-Ping
    Solomon, Bruce
    MATHEMATISCHE ZEITSCHRIFT, 2007, 257 (01) : 225 - 229
  • [44] On the monodromy conjecture for non-degenerate hypersurfaces
    Esterov, Alexander
    Lemahieu, Ann
    Takeuchi, Kiyoshi
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2022, 24 (11) : 3873 - 3949
  • [45] An algebra of chords for a non-degenerate Tonnetz
    Cubarsi, Rafael
    JOURNAL OF MATHEMATICS AND MUSIC, 2024, 18 (03) : 259 - 295
  • [46] ON COMBINATORIAL CRITERIA FOR NON-DEGENERATE SINGULARITIES
    Brzostowski, Szymon
    Oleksik, Grzegorz
    KODAI MATHEMATICAL JOURNAL, 2016, 39 (02) : 455 - 468
  • [47] THERMAL INSTABILITY IN NON-DEGENERATE STARS
    SCHWARZS.M
    HARM, R
    ASTROPHYSICAL JOURNAL, 1965, 142 (03): : 855 - &
  • [48] Towards Non-Degenerate Quantum Lithography
    Zhou, Yu
    Peng, Tao
    Chen, Hui
    Liu, Jianbin
    Shih, Yanhua
    APPLIED SCIENCES-BASEL, 2018, 8 (08):
  • [49] Strongly non-degenerate Lie algebras
    Perera, Francesc
    Molina, Mercedes Siles
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (12) : 4115 - 4124
  • [50] Sensitivity Analysis of Degenerate and Non-Degenerate Planar Parallel Manipulators
    Binaud, Nicolas
    Caro, Stephane
    Wenger, Philippe
    PROCEEDINGS OF EUCOMES 08, THE SECOND EUROPEAN CONFERENCE ON MECHANISM SCIENCE, 2009, : 505 - +
12345