Study on Complex Manifolds

Nakamura一直在研究紧致复流形，它与Fano流形之一是同态的。在1996年1月发表的一篇文章中，他报道了他关于P^4中三维三次超曲面的结果。他还证明了P^5中两个二次超曲面完全相交的类似结果。其中有一些关于C^3紧致的有趣的例子。Tatsu Suwa研究了奇异子簇上向量场的剩余，证明了一些有趣的公式。Izumiya对拟线性一阶微分方程解的局部多值性进行了分类。Ishikawa证明了在保持内积不变的一般条件下，任何(Lagrange)稳定的各向同性映射稳定地等价于一把Whiltney伞。Nakai研究了一些称为Webs的余维一叶簇。他完成了联合4网的分类，这项研究是由Poincare和其他人开始的。

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.