Study on Complex Manifolds

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Nakamura has been studying compact complex manifolds which are homeomorpic to one of Fano manifolds. In the parper published 1996 January, he reported his consequence about 3 dimensional cubic hypersurfaces in P^4. He also proved similar results for complete intersections of two quadric hypersurfaces in P^5. There are some interesting examples of compactifiactions of C^3 among them.Tatsu Suwa studied residues of vector fields along singular subvarieties and proved some interesting formulas. Izumiya classified local multi-valued solutions of quasi-linear first order differential equations. Ishikawa proved that under some general conditions keeping the inner product invariant, any (Lagrange) stable and isotropic mapping is stably equivalent to a Whiltney umbrella.Nakai studied some families of codimension one foliations called webs. He completed a classification of associative 4-webs, whose study had been started by Poincare and others.