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Vector Bundles and Complex Geometry

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
Available Formats:
Softcover ISBN: 978-0-8218-4750-3
Product Code: CONM/522
List Price: $78.00 MAA Member Price:$70.20
AMS Member Price: $62.40 Electronic ISBN: 978-0-8218-8201-6 Product Code: CONM/522.E List Price:$73.00
MAA Member Price: $65.70 AMS Member Price:$58.40
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List Price: $117.00 MAA Member Price:$105.30
AMS Member Price: $93.60 Click above image for expanded view 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 Available Formats:  Softcover ISBN: 978-0-8218-4750-3 Product Code: CONM/522  List Price:$78.00 MAA Member Price: $70.20 AMS Member Price:$62.40
 Electronic ISBN: 978-0-8218-8201-6 Product Code: CONM/522.E
 List Price: $73.00 MAA Member Price:$65.70 AMS Member Price: $58.40 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$117.00 MAA Member Price: $105.30 AMS Member Price:$93.60
• 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.

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 ]

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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.

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 ]
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