On rationality of moduli spaces of vector bundles on real Hirzebruch surfaces

被引:1
|
作者
Biswas, Indranil [1 ]
Sebastian, Ronnie [2 ]
机构
[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India
[2] Inst Math Sci, Madras 600113, Tamil Nadu, India
来源
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2013年 / 123卷 / 02期
关键词
Real variety; moduli space; rationality; Hirzebruch surface;
D O I
10.1007/s12044-013-0118-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let X be a real form of a Hirzebruch surface. Let M-H (r, c(1), c(2)) be the moduli space of vector bundles on X. Under some numerical conditions on r, c(1) and c(2), we identify those M-H(r, c(1), c(2)) that are rational.
引用
收藏
页码:213 / 223
页数:11
相关论文
共 50 条
  • [41] Moduli Spaces of Higgs Bundles – Old and New
    Swoboda J.
    Jahresbericht der Deutschen Mathematiker-Vereinigung, 2021, 123 (2) : 65 - 130
  • [42] Moduli spaces for principal bundles in arbitrary characteristic
    Gomez, T. L.
    Langer, A.
    Schmitt, A. H. W.
    Sols, I.
    ADVANCES IN MATHEMATICS, 2008, 219 (04) : 1177 - 1245
  • [43] Triality and automorphisms of principal bundles moduli spaces
    Anton-Sancho, Alvaro
    ADVANCES IN GEOMETRY, 2024, 24 (03) : 421 - 435
  • [44] Moduli spaces of Riemann surfaces as Hurwitz spaces
    Bianchi, Andrea
    ADVANCES IN MATHEMATICS, 2023, 430
  • [45] Rationality of Moduli Spaces of Plane Curves of Small Degree
    Boehning, Christian
    von Bothmer, Hans-Christian Graf
    Kroeker, Jakob
    EXPERIMENTAL MATHEMATICS, 2009, 18 (04) : 499 - 508
  • [46] INVOLUTIONS ON THE AFFINE GRASSMANNIAN AND MODULI SPACES OF PRINCIPAL BUNDLES
    Henderson, Anthony
    BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2018, 13 (01): : 43 - 97
  • [47] On a new compactification of moduli of vector bundles on a surface. IV: Nonreduced moduli
    Timofeeva, N. V.
    SBORNIK MATHEMATICS, 2013, 204 (01) : 133 - 153
  • [48] Moduli spaces for endomorphisms of finite dimensional vector spaces
    Kanarek, H
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 1998, 4 (02): : 183 - 187
  • [49] Homogeneous affine surfaces: Moduli spaces
    Brozos-Vazquez, M.
    Garcia-Rio, E.
    Gilkey, P.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 444 (02) : 1155 - 1184
  • [50] Parametrised moduli spaces of surfaces as infinite loop spaces
    Bianchi, Andrea
    Kranhold, Florian
    Reinhold, Jens
    FORUM OF MATHEMATICS SIGMA, 2022, 10