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Vector Bundles and Complex Geometry
 
Edited by: Oscar García-Prada Consejo Superior de Investigaciones Científicas, Madrid, Spain
Peter E. Newstead University of Liverpool, Liverpool, United Kingdom
Luis Álvarez-Cónsul Consejo Superior de Investigaciones Científicas, Madrid, Spain
Indranil Biswas Tata Institute of Fundamental Research, Mumbai, India
Steven B. Bradlow University of Illinois at Urbana-Champaign, Urbana, IL
Tomás L. Gómez Consejo Superior de Investigaciones Científicas, Madrid, Spain
Vector Bundles and Complex Geometry
Softcover ISBN:  978-0-8218-4750-3
Product Code:  CONM/522
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8201-6
Product Code:  CONM/522.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4750-3
eBook: ISBN:  978-0-8218-8201-6
Product Code:  CONM/522.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Vector Bundles and Complex Geometry
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Vector Bundles and Complex Geometry
Edited by: Oscar García-Prada Consejo Superior de Investigaciones Científicas, Madrid, Spain
Peter E. Newstead University of Liverpool, Liverpool, United Kingdom
Luis Álvarez-Cónsul Consejo Superior de Investigaciones Científicas, Madrid, Spain
Indranil Biswas Tata Institute of Fundamental Research, Mumbai, India
Steven B. Bradlow University of Illinois at Urbana-Champaign, Urbana, IL
Tomás L. Gómez Consejo Superior de Investigaciones Científicas, Madrid, Spain
Softcover ISBN:  978-0-8218-4750-3
Product Code:  CONM/522
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8201-6
Product Code:  CONM/522.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4750-3
eBook ISBN:  978-0-8218-8201-6
Product Code:  CONM/522.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5222010; 206 pp
    MSC: Primary 14; 20; 58;

    This volume contains a collection of papers from the Conference on Vector Bundles held at Miraflores de la Sierra, Madrid, Spain on June 16–20, 2008, which honored S. Ramanan on his 70th birthday.

    The main areas covered in this volume are vector bundles, parabolic bundles, abelian varieties, Hilbert schemes, contact structures, index theory, Hodge theory, and geometric invariant theory. Professor Ramanan has made important contributions in all of these areas.

    Readership

    Graduate students and research mathematicians interested in vector bundles on algebraic varieties and related topics.

  • Table of Contents
     
     
    • Articles
    • M. S. Narasimhan — The work of S. Ramanan [ MR 2681717 ]
    • V. Balaji and A. Dey — Parabolic bundles on algebraic surfaces II—irreducibility of the moduli space [ MR 2681718 ]
    • Arnaud Beauville — Finite subgroups of ${\rm PGL}_2(K)$ [ MR 2681719 ]
    • Usha N. Bhosle — Picard groups of moduli spaces of torsionfree sheaves on curves [ MR 2681720 ]
    • Usha N. Bhosle — On the moduli of orthogonal bundles on a nodal hyperelliptic curve [ MR 2681731 ]
    • André Hirschowitz and Jaya N. N. Iyer — Hilbert schemes of fat $r$-planes and the triviality of Chow groups of complete intersections [ MR 2681721 ]
    • Nigel Hitchin — Vector bundles and the icosahedron [ MR 2681722 ]
    • Klaus Hulek and Orsola Tommasi — Cohomology of the toroidal compactification of $\scr A_3$ [ MR 2681723 ]
    • Jun-Muk Hwang and Laurent Manivel — Quasi-complete homogeneous contact manifold associated to a cubic form [ MR 2681724 ]
    • I. Mundet i Riera — Maximal weights in Kähler geometry: flag manifolds and Tits distance [ MR 2681725 ]
    • Christian Pauly — Orthogonal bundles over curves in characteristic two [ MR 2681726 ]
    • M. S. Raghunathan — The Atiyah-Singer index theorem [ MR 2681727 ]
    • T. R. Ramadas — ${\rm Spin}(7)$ instantons and the Hodge conjecture for certain abelian four-folds: a modest proposal [ MR 2681728 ]
    • C. S. Seshadri — Remarks on parabolic structures [ MR 2681729 ]
    • Carlos Simpson — Iterated destabilizing modifications for vector bundles with connection [ MR 2681730 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5222010; 206 pp
MSC: Primary 14; 20; 58;

This volume contains a collection of papers from the Conference on Vector Bundles held at Miraflores de la Sierra, Madrid, Spain on June 16–20, 2008, which honored S. Ramanan on his 70th birthday.

The main areas covered in this volume are vector bundles, parabolic bundles, abelian varieties, Hilbert schemes, contact structures, index theory, Hodge theory, and geometric invariant theory. Professor Ramanan has made important contributions in all of these areas.

Readership

Graduate students and research mathematicians interested in vector bundles on algebraic varieties and related topics.

  • Articles
  • M. S. Narasimhan — The work of S. Ramanan [ MR 2681717 ]
  • V. Balaji and A. Dey — Parabolic bundles on algebraic surfaces II—irreducibility of the moduli space [ MR 2681718 ]
  • Arnaud Beauville — Finite subgroups of ${\rm PGL}_2(K)$ [ MR 2681719 ]
  • Usha N. Bhosle — Picard groups of moduli spaces of torsionfree sheaves on curves [ MR 2681720 ]
  • Usha N. Bhosle — On the moduli of orthogonal bundles on a nodal hyperelliptic curve [ MR 2681731 ]
  • André Hirschowitz and Jaya N. N. Iyer — Hilbert schemes of fat $r$-planes and the triviality of Chow groups of complete intersections [ MR 2681721 ]
  • Nigel Hitchin — Vector bundles and the icosahedron [ MR 2681722 ]
  • Klaus Hulek and Orsola Tommasi — Cohomology of the toroidal compactification of $\scr A_3$ [ MR 2681723 ]
  • Jun-Muk Hwang and Laurent Manivel — Quasi-complete homogeneous contact manifold associated to a cubic form [ MR 2681724 ]
  • I. Mundet i Riera — Maximal weights in Kähler geometry: flag manifolds and Tits distance [ MR 2681725 ]
  • Christian Pauly — Orthogonal bundles over curves in characteristic two [ MR 2681726 ]
  • M. S. Raghunathan — The Atiyah-Singer index theorem [ MR 2681727 ]
  • T. R. Ramadas — ${\rm Spin}(7)$ instantons and the Hodge conjecture for certain abelian four-folds: a modest proposal [ MR 2681728 ]
  • C. S. Seshadri — Remarks on parabolic structures [ MR 2681729 ]
  • Carlos Simpson — Iterated destabilizing modifications for vector bundles with connection [ MR 2681730 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.