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	Automorphisms of surfaces of general type with q >= 2 acting trivially in cohomology
	Cai, Jin-Xing ; Liu, Wenfei ; Zhang, Lei
	2013
关键词	surface of general type variety of maximal Albanese dimension automorphism cohomology IRREGULAR SURFACE FIBER SURFACES MODULI SPACES VARIETIES ENRIQUES INEQUALITY MANIFOLDS HOMOLOGY GENUS-2
英文摘要	In this paper we prove that surfaces of general type with irregularity q >= 3 are rationally cohomologically rigidified, and so are minimal surfaces S with q(S) = 2 unless K-S(2) = 8 chi (O-S). Here a surface S is said to be rationally cohomologically rigidified if its automorphism group Aut(S) acts faithfully on the cohomology ring H*(S, Q). As examples we give a complete classification of surfaces isogenous to a product with q(S) = 2 that are not rationally cohomologically rigidified.; Mathematics; SCI(E); 1; ARTICLE; 10; 1667-1684; 149
语种	英语
出处	SCI
出版者	compositio mathematica
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314325]
专题	数学科学学院
推荐引用方式 GB/T 7714	Cai, Jin-Xing,Liu, Wenfei,Zhang, Lei. Automorphisms of surfaces of general type with q >= 2 acting trivially in cohomology. 2013-01-01.

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