Infinite dimensional families of Calabi-Yau threefolds and moduli of vector bundles

被引:4
|
作者
Ballico, Edoardo [1 ]
Gasparim, Elizabeth [2 ]
Suzuki, Bruno [2 ]
机构
[1] Univ Trento, Dept Math, I-38050 Povo, Italy
[2] Univ Catolica Norte, Matemat, Antofagasta, Chile
关键词
DEFORMATIONS;
D O I
10.1016/j.jpaa.2020.106554
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study noncompact Calabi-Yau threefolds, their moduli spaces of vector bundles and deformation theory. We present Calabi-Yau threefolds that have infinitely many distinct deformations, constructing them explicitly, and describe the effect that such deformations produce on moduli spaces of vector bundles. (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页数:24
相关论文
共 50 条
  • [31] A construction of stable vector bundles on Calabi-Yau manifolds
    Nakashima, T
    JOURNAL OF GEOMETRY AND PHYSICS, 2004, 49 (02) : 224 - 230
  • [32] Extremal Bundles on Calabi–Yau Threefolds
    Peng Gao
    Yang-Hui He
    Shing-Tung Yau
    Communications in Mathematical Physics, 2015, 336 : 1167 - 1200
  • [33] On the monodromy of the moduli space of Calabi-Yau threefolds coming from eight planes in
    Gerkmann, Ralf
    Sheng, Mao
    van Straten, Duco
    Zuo, Kang
    MATHEMATISCHE ANNALEN, 2013, 355 (01) : 187 - 214
  • [34] Real Lagrangians in Calabi-Yau threefolds
    Arguz, Hulya
    Prince, Thomas
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2020, 121 (02) : 287 - 311
  • [35] ON POLARIZED CANONICAL CALABI-YAU THREEFOLDS
    OGUISO, K
    PETERNELL, T
    MATHEMATISCHE ANNALEN, 1995, 301 (02) : 237 - 248
  • [36] Infinitesimal deformations of a Calabi-Yau hypersurface of the moduli space of stable vector bundles over a curve
    Biswas, I
    Brambila-Paz, L
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2002, 544 : 1 - 12
  • [37] A cascade of determinantal Calabi-Yau threefolds
    Kapustka, Michal
    Kapustka, Grzegorz
    MATHEMATISCHE NACHRICHTEN, 2010, 283 (12) : 1795 - 1809
  • [38] BOUNDEDNESS QUESTIONS FOR CALABI-YAU THREEFOLDS
    Wilson, P. M. H.
    JOURNAL OF ALGEBRAIC GEOMETRY, 2021, 30 (04) : 631 - 684
  • [39] Doubling construction of Calabi-Yau threefolds
    Doi, Mamoru
    Yotsutani, Naoto
    NEW YORK JOURNAL OF MATHEMATICS, 2014, 20 : 1203 - 1235
  • [40] GLOBAL SMOOTHING OF CALABI-YAU THREEFOLDS
    NAMIKAWA, Y
    STEENBRINK, JHM
    INVENTIONES MATHEMATICAE, 1995, 122 (02) : 403 - 419