Explicit constructions of several algebraic varieties

将显式构造应用于具有非同构满射自同态的曲面的分类问题，得到了两个结果。一类是正规射影复曲面的情形，除了一些特殊的有理曲面的情形外，其他的分类都已完成。另一类是具有正特征的非奇异射影曲面，在假设自同态是可分的情况下，我们也得到了一定的分类结果。

Two results are obtained by applying explicit constructions to the classification problem of surfaces which admit non-isomorphic surjective endomorphisms. One is the case of normal projective complex surfaces, and the classification has been completed except for the case of some special rational surfaces. The other is the case of non-singular projective surfaces in positive characteristic, and we have also certain classification results assuming that the endomorphisms are separable.