2005/02/20 | Enriques曲面[Enriques Surfaces]
类别(∑〖数学〗) | 评论(0) | 阅读(24) | 发表于 14:28
An Enriques surface X is a smooth compact complex surface having irregularity and nontrivial canonical sheaf such that (Endraß). Such surfaces cannot be embedded in projective three-space, but there nonetheless exist transformations onto singular surfaces in projective three-space. There exists a family of such transformed surfaces of degree six which passes through each edge of a tetrahedron twice. A subfamily with tetrahedral symmetry is given by the two-parameter (r, c) family of surfaces

and the polynomial is a sphere with radius r,


(Endraß).
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