𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Invariant hypersurfaces for positive characteristic vector fields

✍ Scribed by Jorge Vitório Pereira

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
78 KB
Volume
171
Category
Article
ISSN
0022-4049

No coin nor oath required. For personal study only.

✦ Synopsis

We show that a generic vector ÿeld on an a ne space of positive characteristic admits an invariant algebraic hypersurface. This contrasts with Joaunolou's Theorem that shows that in characteristic zero the situation is completely opposite. That is, a generic vector ÿeld in the complex plane does not admit any invariant algebraic curve.

📜 SIMILAR VOLUMES

Zeros of equivariant vector fields: Algo
Zeros of equivariant vector fields: Algorithms for an invariant approach
✍ Patrick A. Worfolk 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 750 KB

We present a symbolic algorithm to solve for the zeros of a polynomial vector field equivariant with respect to a finite subgroup of \(O(n)\). We prove that the module of equivariant polynomial maps for a finite matrix group is Cohen-Macaulay and give an algorithm to compute a fundamental basis. Equ

Invariant Algebraic Curves and Rational
Invariant Algebraic Curves and Rational First Integrals for Planar Polynomial Vector Fields
✍ Javier Chavarriga; Jaume Llibre 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 131 KB

## dedicated to professor jack k. hale on the occasion of his 70th birthday We present three main results. The first two provide sufficient conditions in order that a planar polynomial vector field in C 2 has a rational first integral, and the third one studies the number of multiple points that a