Valuations and Differential Galois Groups (Memoirs of the American Mathematical Society)

Valuations and Differential Galois Groups (Memoirs of the American Mathematical Society)

By: Guillaume Duval (author)Paperback

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Description

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.

Product Details

  • ISBN13: 9780821849064
  • Format: Paperback
  • Number Of Pages: 68
  • ID: 9780821849064
  • ISBN10: 0821849069

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