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A note on abelian automorphism groups of surfaces of general type

 

作者: Jin-Xing Cai,  

 

期刊: Communications in Algebra  （Taylor Available online 1998）
卷期: Volume 26, issue 4  

页码: 1057-1067

 

ISSN:0092-7872

 

年代: 1998

 

DOI:10.1080/00927879808826183

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

It is proved that for a complex minimal smooth projective surfaceSof general type, its abelian automorphism group is of order, provided χ(Os) ≥ 315 (resp. the canonical map ofSis composed with a pencil of curves and χ(Os) ≥ 21, whereKsis the canonical divisor ofS, and χ(Os) is the Euler characteristic of the structure sheaf ofS.

 

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