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Título: Valuations And Differential Galois Groups (Vol. 998) | |
| Autor: Duval, Guillaume | Precio: $852.00 | |
| Editorial: American Mathematical Society | Año: 2011 | |
| Tema: Matematicas | Edición: 1ª | |
| Sinopsis | ISBN: 9780821849064 | |
| In this paper, valuation theory is used to analyse infinitesimal behaviour of solutions of linear differential equations. For any Picard-Vessiot extension $(F / K, \partial)$ with differential Galois group $G$, the author looks at the valuations of $F$ which are left invariant by $G$. The main reason for this is the following: If a given invariant valuation $\nu$ measures infinitesimal behaviour of functions belonging to $F$, then two conjugate elements of $F$ will share the same infinitesimal behaviour with respect to $\nu$. This memoir is divided into seven sections. | ||
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