Valuations and differential Galois groups

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Valuations and differential Galois...

Valuations and differential Galois groups

Guillaume Duval

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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

Категорії:

Рік:

2011

Видавництво:

Amer Mathematical Society

Мова:

english

Сторінки:

82

ISBN 10:

0821849069

ISBN 13:

9780821849064

Серії:

Memoirs of the American Mathematical Society 0998

Файл:

PDF, 688 KB

IPFS:

,

english, 2011

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