# Moduli Spaces and Arithmetic Geometry (Kyoto, 2004)

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*Shigeru Mukai; Yoichi Miyaoka; Shigefumi Mori; Atsushi Moriwaki; Iku Nakamura*

A publication of the Mathematical Society of Japan

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. Soulé,
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.

Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS.

Volumes in this series are freely available electronically 5 years post-publication.

#### Readership

Graduate students and research mathematicians interested in algebra and algebraic geometry.