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

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Muñoz, Vicente and Sols, Ignacio (2000) Degree of the divisor of solutions of a differential equation on a projective variety. Communications in Algebra, 28 (12). pp. 5749-5767. ISSN 0092-7872

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Official URL: http://www.tandfonline.com/doi/pdf/10.1080/00927870008827187


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Abstract

Using the data schemes from [I] we give a rigorous definition of algebraic differential equations on the complex projective space P-n. For an algebraic subvariety S subset of or equal to P-n, we present an explicit formula for the degree of the divisor of solutions of a differential equation on S and give some examples of applications. We extend the technique and result to the real case.


Item Type:Article
Uncontrolled Keywords:Divisor of solutions of a differential equation; Grassmannians of a tangent bundle; Intersection numbers; Schubert cycles; Divisor of solutions; Plane
Subjects:Sciences > Mathematics > Algebra
ID Code:20502
Deposited On:19 Mar 2013 18:25
Last Modified:12 Mar 2019 16:40

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