多重典范映射是阿贝尔覆盖的代数曲面
发布时间：2018-08-20 09:09
【摘要】：本文的主要目的是完全确定其多重典范映射是射影平面P2上的阿贝尔覆盖的一般型极小曲面及其局部定义方程。实际上,只有二重典范映射能够实现为IP2上的有限覆盖映射,我们给出了两族可能合适的曲面。在文献[7]中,杜荣和高云利用阿贝尔覆盖完全确定了典范映射是射影平面IP2上的阿贝尔覆盖的一般型极小曲面及其局部定义方程。本文可看作是这一工作的延续,得到了在同构的意义下只有两个曲面满足条件。最后,我们将前面的方法应用到更一般的情形,构造出了满足形如aKx≡bD=bφ*H的方程的曲面。
[Abstract]:The main purpose of this paper is to completely determine that its multiplex canonical mapping is the general minimal surface of Abelian covering on the projective plane P2 and its local definition equation. In fact, only double canonical maps can be realized as finite covering maps on IP2. In [7], du Rong and Gao Yun completely determined that the canonical mapping is the general minimal surface of Abelian covering on the projective plane IP2 and its local definition equation by using the Abelian cover. This paper can be regarded as a continuation of this work and it is obtained that only two surfaces satisfy the conditions in the sense of isomorphism. Finally, we apply the previous method to the more general case, and construct a surface satisfying the equation such as aKx 鈮，
本文编号：2193106
[Abstract]:The main purpose of this paper is to completely determine that its multiplex canonical mapping is the general minimal surface of Abelian covering on the projective plane P2 and its local definition equation. In fact, only double canonical maps can be realized as finite covering maps on IP2. In [7], du Rong and Gao Yun completely determined that the canonical mapping is the general minimal surface of Abelian covering on the projective plane IP2 and its local definition equation by using the Abelian cover. This paper can be regarded as a continuation of this work and it is obtained that only two surfaces satisfy the conditions in the sense of isomorphism. Finally, we apply the previous method to the more general case, and construct a surface satisfying the equation such as aKx 鈮，
本文编号：2193106
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