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On curve sections of rank two reflexive sheaves

 

作者: Scott Nollet,   Margherita Roggero,   Paolo Valabrega,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 12  

页码: 5531-5540

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008827173

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: 14F05

 

数据来源: Taylor

 

摘要:

LetFbe a normalized rank 2 reflexive sheaf on P3with Chern classesc1,c2,c3. Let α be the least integer such that 0≠H0F(α) and β be the smallest integer such thatH0F(n) has sections whose zero scheme is a curve for alln≥ β . We show that ifT0is the largest root of the cubic polynomialthen β ≥T0-α-c1-1. There are applications to the smallest degree of a surface containing a curves which are the zero schemes of sections ofH0F(α).

 

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