Moduli Spaces and Arithmetic Geometry (Kyoto, 2004) (Advanced Studies in Pure Mathematics)

Since its birth, algebraic geometry has been closely related to and deeply motivated by number theory. The modern study of moduli spaces and arithmetic geometry demonstrates that these two areas 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. Soule, A. Beauville and C. Faber, and other 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. Information for our distributors: Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. All commercial channel discounts apply.