Valuations and differential Galois groups

Main
Mathematics
Valuations and differential Galois...

Valuations and differential Galois groups

Guillaume Duval

0 / 0

როგორ მოგეწონათ ეს წიგნი?

როგორი ხარისხისაა ეს ფაილი?

ჩატვირთეთ, ხარისხის შესაფასებლად

როგორი ხარისხისაა ჩატვირთული ფაილი?

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

კატეგორია:

წელი:

2011

გამომცემლობა:

Amer Mathematical Society

ენა:

english

გვერდები:

82

ISBN 10:

0821849069

ISBN 13:

9780821849064

სერია:

Memoirs of the American Mathematical Society 0998

ფაილი:

PDF, 688 KB

IPFS:

,

english, 2011

ონლაინ წაკითხვა

ხორციელდება კონვერტაციის -ში

კონვერტაციის -ში ვერ მოხერხდა

შესაძლოა დაგაინტერესოთ

Gary Gordon, Jennifer McNulty — Matroids: A Geometric Introduction

Philippe Gille, Arturo Pianzola — Torsors, reductive group schemes and extended affine Lie algebras

Philippe Gille, Tamás Szamuely — Central Simple Algebras and Galois Cohomology

J. S. Milne — Fields and Galois Theory

J. S. Milne — Fields and Galois Theory

J. S. Milne — Algebraic Number Theory

Wulf-Dieter Geyer — Field Theory

Andrei Jorza — The Birch and Swinnerton-Dyer Conjecture for Abelian Varieties over Number Fields [Senior thesis]

K.G. Ramanathan — Lectures on the Algebraic Theory of Fields

Henning Stichtenoh — GTM254-Algebraic Function Fields and Codes2009

Ramanathan K.G — Lectures on the algebraic theory of fields

Kolchin E.R. — Galois theory of differential fields

van der Put. — Galois theory of differential equations. JSC 1999

MILNE — ALGEBRAIC NUMBER THEORY

J. Milne — Fileds and Galois Theory. (jnl article)

— Galois Theory of Linear Differential Equations

Qing Liu; Reinie Erné (Translator) — Algebraic Geometry and Arithmetic Curves

Divulgación — Lecturas matemáticas

Marius Put — Galois Theory of Linear Differential Equations

Gille P., Szamuely T. — Central Simple Algebras and Galois Cohomology

E. Kowalski — The Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups

Philippe Gille, Tamás Szamuely — Central Simple Algebras and Galois Cohomology.

D. Abramovich, A. Bertram, L. Katzarkov, R. Pandharipande, M. Thaddeus (ed.) — Algebraic Geometry: Seattle 2005: 2005 Summer Research Institute, July 25- August 12. 2005, Unversity Of Washington, Seattle, Washington part 1

Primitivo B. Acosta-humanez, Francisco Marcellan (ed.) — Differential Algebra, Complex Analysis and Orthogonal Polynomials: Jairo Charris Seminar 2007-2008, Escuela De Matematicas Universidad Sergio Arboleda, Bogata, Colombia

Teresa Crespo, Zbigniew Hajto — Algebraic groups and differential Galois theory

Andy R. Magid — Lectures on differential Galois theory

Antonio J. Engler, Alexander Prestel — Valued fields

Henning Stichtenoth — Algebraic Function Fields and Codes (Graduate Texts in Mathematics Book 254)

Gregor Kemper — A Course in Commutative Algebra

საკვანძო ფრაზები