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
  • [21] The Brauer group of desingularization of moduli spaces of vector bundles over a curve
    Biswas, Indranil
    Hogadi, Amit
    Holla, Yogish I.
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2012, 10 (04): : 1300 - 1305
  • [22] On the motive of moduli spaces of rank two vector bundles over a curve
    del Baño, S
    COMPOSITIO MATHEMATICA, 2002, 131 (01) : 1 - 30
  • [23] ON THE RATIONALITY OF MODULI SPACES OF POINTED HYPERELLIPTIC CURVES
    Casnati, G.
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2012, 42 (02) : 491 - 498
  • [24] Quantization of some moduli spaces of parabolic vector bundles on CP1
    Biswas, Indranil
    Florentino, Carlos
    Mourao, Jose
    Nunes, Joao P.
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2013, 43 (02) : 161 - 176
  • [25] THE MODULI SPACE OF REAL VECTOR BUNDLES OF RANK TWO OVER A REAL HYPERELLIPTIC CURVE
    Baird, Thomas John
    Hu, Shengda
    PACIFIC JOURNAL OF MATHEMATICS, 2020, 304 (01) : 1 - 14
  • [26] Chen-Ruan cohomology of some moduli spaces of parabolic vector bundles
    Biswas, Indranil
    Dey, Arijit
    BULLETIN DES SCIENCES MATHEMATIQUES, 2010, 134 (01): : 54 - 63
  • [27] AUTOMORPHISMS OF MODULI SPACES OF SYMPLECTIC BUNDLES
    Biswas, Indranil
    Gomez, Tomas L.
    Munoz, Vicente
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2012, 23 (05)
  • [28] Statistics of moduli space of vector bundles
    Dey, Arijit
    Dey, Sampa
    Mukhopadhyay, Anirban
    BULLETIN DES SCIENCES MATHEMATIQUES, 2019, 151 : 13 - 33
  • [29] Vector bundles on Hirzebruch surfaces whose twists by a non-ample line bundle have natural cohomology
    Ballico, Edoardo
    Malaspina, Francesco
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2008, 6 (01): : 143 - 148
  • [30] Isotopies of Real Trigonal Curves on Hirzebruch Surfaces
    V. I. Zvonilov
    Journal of Mathematical Sciences, 2003, 113 (6) : 804 - 809
12345