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A generalization of curve genus for ample vector bundles. I

 

作者: Hlronobu Ishihara,  

 

期刊: Communications in Algebra  （Taylor Available online 1999）
卷期: Volume 27, issue 9  

页码: 4327-4335

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826699

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: Ample vector bundle;sectional genus;curve genus;polarized manifold;Primary: 14J60;Secondary: 14C20;Secondary: 14F05;Secondary: 14J40

 

数据来源: Taylor

 

摘要:

A new genusg=g(X, ϵ) is defined for the pairs (X, ϵS)that consist ofn-dimensional compact complex manifoldsXand ample vector bundles ϵ of rankrless thannonX. In caser=n-1gis equal to curve genus. Above pairs (X,ϵ) withgless than two are classified. For spanned ϵ it is shown thatgis greater than or equal to the irregularity ofX, and its equality condition is given.

 

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