MODULI SPACES AND ARITHMETIC GEOMETRY (Advanced Studies in Pure Mathematics) - Hardcover

Hardcover

ISBN 10: 4931469388 ISBN 13: 9784931469389

Publisher: Mathematical Society of Japan, 2007

Synopsis

Since its birth algebraic geometry has been closely related to and deeply motivated by number theory. Particularly the modern study of moduli spaces and arithmetic geometry have many important techniques and ideas in common. With this close relation in mind, the RIMS conference Moduli Spaces and Arithmetic Geometry was held at Kyoto University during September 8-15, 2004 as the 13th International Research Institute of the Mathematical Society of Japan. This volume is the outcome of this conference and consists of thirteen papers by invited speakers, including C Soulé, A Beauville and C Faber, and participants. All papers, with two exceptions by C Voisin and Yoshinori Namikawa, treat moduli problem and/or arithmetic geometry. Algebraic curves, Abelian varieties, algebraic vector bundles, connections and D-modules are the subjects of those moduli papers. Arakelov geometry and rigid geometry are studied in arithmetic papers. In the two exceptions, integral Hodge classes on Calabi-Yau threefolds and symplectic resolutions of nilpotent orbits are studied.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Edition details

• Publisher: Mathematical Society of Japan
• Publication date: 2007
• Language: English
• ISBN 10: 4931469388
• ISBN 13: 9784931469389
• Binding: Hardcover
• Number of pages: 432
• Editor: Mukai Shigeru, Mori Shigefumi, Miyaoka Yoichi, Moriwaki Atsushi, Nakamura Iku