科研之友
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摘要
Let S be a compact complex surface. With the exception of some complex surfaces, it is known that there are only finitely many deformation types of complex surfaces with the same homotopy type as S. Let H(S) be the set of deformation equivalence classes of complex surfaces homotopy equivalent to S. We evaluate #H(S) when S is a Hopf surface. As a corollary, we construct a sequence of Hopf surfaces (S-n) such that although #H(S-n) is finite for all n, the sequence (#H(S-n)) is unbounded.
- 出版日期2017-6
