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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

## 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 |
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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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