Article contents
DEFORMATIONS OF DIFFERENTIAL ARCS
Published online by Cambridge University Press: 16 August 2016
Abstract
Let $k$ be field of characteristic zero. Let
$f\in k[X,Y]$ be a nonconstant polynomial. We prove that the space of differential (formal) deformations of any formal general solution of the associated ordinary differential equation
$f(y^{\prime },y)=0$ is isomorphic to the formal disc
$\text{Spf}(k[[Z]])$.
Keywords
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 94 , Issue 3 , December 2016 , pp. 405 - 410
- Copyright
- © 2016 Australian Mathematical Publishing Association Inc.
References
- 1
- Cited by