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Discriminant loci of varieties with smooth normalization

 

作者: A. Lanteri,   M. Palleschi,   A.J. Sommese,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 9  

页码: 4179-4200

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008827081

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: Ample and spanned line bundle;generically one-to-one morphism;discriminant locus;nondegenerate quadratic singularity;defect;adjunction theory

 

数据来源: Taylor

 

摘要:

LetXbe a smooth complex projectiven-fold endowed with an ample and spanned line bundle (L). Under the assumption that Γ(L) defines a generically one-to-one map we describe the singular set of the general element in the main component of the discriminant locus of |L|. This description is used to show that (X:,L) is covered by linear Pk’s, wherek+ 1 stands for the codimension of the main component. We also give some applications relating k to the spectral value of (X, L) and discuss some examples.

 

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