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Degree of the divisor of solutions of a differential equation on a projective variety

 

作者: Vicente Muñoz,   Ignacio Sols,  

 

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

页码: 5749-5767

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008827187

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: Primary: 14D20;Secondary: 14D20;Secondary: 14M15;Secondary: 14P05

 

数据来源: Taylor

 

摘要:

Using the data schemes from [1] we give a rigorous definition of algebraic differential equations on the complex projective space Pn. For an algebraic subvarietyS⊆Pn, we present an explicit formula for the degree of the divisor of solutions of a differential equation onSand give some examples of applications. We extend the technique and result to the real case.

 

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