论文标题
在betti的紧凑型全体形态符号符号孔的数量上
On the Betti numbers of compact holomorphic symplectic orbifolds of dimension four
论文作者
论文摘要
我们通过证明4维原始符号符号Orbifold的第二个Betti数量最多为23，并且最多有91个单数点，我们扩展了Guan的结果。最大可能性23只能在平滑情况下发生。除了获得第二个贝蒂数字7和23的已知平滑示例外，我们还提供了第二个贝蒂数字3、5、5、6、8、9、10、11、14和16的Orbifolds。
We extend a result of Guan by showing that the second Betti number of a 4-dimensional primitively symplectic orbifold is at most 23 and there are at most 91 singular points. The maximal possibility 23 can only occur in the smooth case. In addition to the known smooth examples with second Betti numbers 7 and 23, we provide examples of such orbifolds with second Betti numbers 3, 5, 6, 8, 9, 10, 11, 14 and 16. In an appendix, we extend Salamon's relation among Betti/Hodge numbers of symplectic manifolds to symplectic orbifolds.
