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	Keum-Naie-Mendes Lopes-Pardini surfaces yield an irreducible component of the moduli space
	Chen, Yifan
	2013
关键词	GENERAL TYPE
英文摘要	We construct a family of minimal smooth surfaces of general type with K-2 = 3 and p(g) = 0, which are finite (Z/2Z)(2)-covers of the 4-nodal cubic surface. This turns out to be a five-dimensional subfamily of the six-dimensional family constructed by Mendes Lopes and Pardini, which realizes the Keum-Naie surfaces with K-2 = 3 as degenerations. We show that the base of the Kuranishi family of a general surface in our subfamily is smooth. We prove that the closure of the corresponding subset of the Keum-Naie-Mendes Lopes-Pardini surfaces is an irreducible component of the Gieseker moduli space. As an important byproduct, it is shown that, for the surfaces in this irreducible component, the degree of the bicanonical map can only be 2 or 4.; Mathematics; SCI(E); 0; ARTICLE; 921-929; 45
语种	英语
出处	SCI
出版者	bulletin of the london mathematical society
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314327]
专题	数学科学学院
推荐引用方式 GB/T 7714	Chen, Yifan. Keum-Naie-Mendes Lopes-Pardini surfaces yield an irreducible component of the moduli space. 2013-01-01.

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