Algebraic Theory of Manifolds

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1. Head investigator and cooperative investigators pursued a research under the title of algebraic theory of manifolds with cooperations of other researchers within or in the vicinity of the field in interest.2. We organized and held research meetings to discuss outstanding results obtained in the research under the title. Those held in 1991 include the following ;(1) Algebraic Geometry symposium (Vector bundles) (Kyoto Univ. Oct. 1 - 4)(2) Commutative Algebra symposium (Intec Ohyama Training Center, Oct. 30-Nov. 2)(3) Algebraic Geometry symposium (Comprehensive) (Kinosaki, Nov. 4-8)(4) Algebraic Geometry and Hodge Theory (Kyoto Univ. Res. Inst. Math. Sci. Dec. 2-6)3. We collected various materials and data related to the reseach under the title.4. We prompted discussions within cooperative investigators and the researchers interested in the research under the title.5. We published proceedings-of the meetings'sponsored by t. hi-s project during 1989-1991.