TOSHIKI MABUCHI is Professor of Mathematics at the College of General Education, Osaka University, Japan. The author or coauthor of numerous journal articles and book chapters and coeditor of the Osaka Journal of Mathematics, he is a member of the Mathematical Society of Japan. Dr. Mabuchi received the Ph.D. degree (1977) in mathematics from the University of California, Berkeley, and the Ph.D. degree (1983) in mathematics from Osaka University, Japan. SHIGERU MUKAI is Professor of Mathematics at the School of Science, Nagoya University, Japan. The author or coauthor of many journal articles and book chapters and coeditor of the Nagoya Mathematical Journal, he is a member of the Mathematical Society of Japan. Dr. Mukai received the Ph.D. degree (1982) in mathematics from Kyoto University, Japan.

• Preface -- Contributors -- 1. A. Bahri: Proof of the Yamabe conjecture, without the positive mass theorem, for locally conformally flat manifolds -- 2. S. Bando: Einstein-Hermitian metrics on non-compact Kahler manifolds -- 3. F. Bogomolov: Stability of vector bundles on surfaces and curves -- 4. P. Braam: Magnetic monopoles and topology -- 5. I. Enoki: Kawamata-Viehweg vanishing theorem for compact Kahler manifolds -- 6. M. Furuta: Morse theory and Thom-Gysin exact sequence -- 7. N. Koiso: Yang-Mills connections of homogeneous bundles II -- 8. D. Kotschick: Non-trivial harmonic spinors on certain algebraic surfaces -- 9. R. Lazarsfeld: Cohomology on symmetric products, syzygies of canonical curves, and a theorem of Kempf -- 10. C. LeBrun: Self-dual manifolds and hyperbolic geometry -- 11. T. Mabuchi and S. Mukai: Stability and Einstein-Kahler metric of a quartic del Pezzo surface -- 12. M. Mulase: Geometric classification of Z2-commutative algebras of super differential operators -- 13. A. Nadel: Relative bounds for Fano varieties of the second kind -- 14. H. Nakajima: Monopoles and Nahm's equations -- 15. S. Takakuwa: Existence of infinitely many solutions of a conformally invariant elliptic equation -- Index.

TOSHIKI MABUCHI is Professor of Mathematics at the College of General Education, Osaka University, Japan. The author or coauthor of numerous journal articles and book chapters and coeditor of the Osaka Journal of Mathematics, he is a member of the Mathematical Society of Japan. Dr. Mabuchi received the Ph.D. degree (1977) in mathematics from the University of California, Berkeley, and the Ph.D. degree (1983) in mathematics from Osaka University, Japan. SHIGERU MUKAI is Professor of Mathematics at the School of Science, Nagoya University, Japan. The author or coauthor of many journal articles and book chapters and coeditor of the Nagoya Mathematical Journal, he is a member of the Mathematical Society of Japan. Dr. Mukai received the Ph.D. degree (1982) in mathematics from Kyoto University, Japan.

• Preface -- Contributors -- 1. A. Bahri: Proof of the Yamabe conjecture, without the positive mass theorem, for locally conformally flat manifolds -- 2. S. Bando: Einstein-Hermitian metrics on non-compact Kahler manifolds -- 3. F. Bogomolov: Stability of vector bundles on surfaces and curves -- 4. P. Braam: Magnetic monopoles and topology -- 5. I. Enoki: Kawamata-Viehweg vanishing theorem for compact Kahler manifolds -- 6. M. Furuta: Morse theory and Thom-Gysin exact sequence -- 7. N. Koiso: Yang-Mills connections of homogeneous bundles II -- 8. D. Kotschick: Non-trivial harmonic spinors on certain algebraic surfaces -- 9. R. Lazarsfeld: Cohomology on symmetric products, syzygies of canonical curves, and a theorem of Kempf -- 10. C. LeBrun: Self-dual manifolds and hyperbolic geometry -- 11. T. Mabuchi and S. Mukai: Stability and Einstein-Kahler metric of a quartic del Pezzo surface -- 12. M. Mulase: Geometric classification of Z2-commutative algebras of super differential operators -- 13. A. Nadel: Relative bounds for Fano varieties of the second kind -- 14. H. Nakajima: Monopoles and Nahm's equations -- 15. S. Takakuwa: Existence of infinitely many solutions of a conformally invariant elliptic equation -- Index.

TOSHIKI MABUCHI is Professor of Mathematics at the College of General Education, Osaka University, Japan. The author or coauthor of numerous journal articles and book chapters and coeditor of the Osaka Journal of Mathematics, he is a member of the Mathematical Society of Japan. Dr. Mabuchi received the Ph.D. degree (1977) in mathematics from the University of California, Berkeley, and the Ph.D. degree (1983) in mathematics from Osaka University, Japan. SHIGERU MUKAI is Professor of Mathematics at the School of Science, Nagoya University, Japan. The author or coauthor of many journal articles and book chapters and coeditor of the Nagoya Mathematical Journal, he is a member of the Mathematical Society of Japan. Dr. Mukai received the Ph.D. degree (1982) in mathematics from Kyoto University, Japan.

• Preface -- Contributors -- 1. A. Bahri: Proof of the Yamabe conjecture, without the positive mass theorem, for locally conformally flat manifolds -- 2. S. Bando: Einstein-Hermitian metrics on non-compact Kahler manifolds -- 3. F. Bogomolov: Stability of vector bundles on surfaces and curves -- 4. P. Braam: Magnetic monopoles and topology -- 5. I. Enoki: Kawamata-Viehweg vanishing theorem for compact Kahler manifolds -- 6. M. Furuta: Morse theory and Thom-Gysin exact sequence -- 7. N. Koiso: Yang-Mills connections of homogeneous bundles II -- 8. D. Kotschick: Non-trivial harmonic spinors on certain algebraic surfaces -- 9. R. Lazarsfeld: Cohomology on symmetric products, syzygies of canonical curves, and a theorem of Kempf -- 10. C. LeBrun: Self-dual manifolds and hyperbolic geometry -- 11. T. Mabuchi and S. Mukai: Stability and Einstein-Kahler metric of a quartic del Pezzo surface -- 12. M. Mulase: Geometric classification of Z2-commutative algebras of super differential operators -- 13. A. Nadel: Relative bounds for Fano varieties of the second kind -- 14. H. Nakajima: Monopoles and Nahm's equations -- 15. S. Takakuwa: Existence of infinitely many solutions of a conformally invariant elliptic equation -- Index.