Valuations and Differential Galois Groups is popular PDF and ePub book, written by Guillaume Duval in 2011, it is a fantastic choice for those who relish reading online the Differential algebraic groups genre. Let's immerse ourselves in this engaging Differential algebraic groups book by exploring the summary and details provided below. Remember, Valuations and Differential Galois Groups can be Read Online from any device for your convenience.
Valuations and Differential Galois Groups Book PDF Summary
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.
Detail Book of Valuations and Differential Galois Groups PDF
- Author : Guillaume Duval
- Release : 28 June 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821849064
- Genre : Differential algebraic groups
- Total Page : 82 pages
- Language : English
- PDF File Size : 19,9 Mb
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