On the envelope of a vector field

• Autorzy: Bernard Malgrange
• Języki publikacji: EN

Abstrakty

EN

Given a vector field X on an algebraic variety V over ℂ, I compare the following two objects: (i) the envelope of X, the smallest algebraic pseudogroup over V whose Lie algebra contains X, and (ii) the Galois pseudogroup of the foliation defined by the vector field X + d/dt (restricted to one fibre t = constant). I show that either they are equal, or the second has codimension one in the first.

Kategorie tematyczne

• 34Lxx: Ordinary differential operators
• 37C10: Vector fields, flows, ordinary differential equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 94
• Numer: 1
• Strony: 239-246

Daty

wydano

2011

Twórcy

autor

Bernard Malgrange

• UFR de Mathématiques, UMR 5582, Institut Fourier, Université Grenoble 1 - CNRS, 38402 Saint-Martin d'Hères Cedex, France

Identyfikatory

DOI

10.4064/bc94-0-17