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Differential Algebraic Groups of Finite Dimension

Alexandru Buium

Editore:: Springer Berlin Heidelberg
Collana:: Lecture Notes In Mathematics
EAN:: 9783540551812
ISBN:: 3540551816
Pagine:: 164
Formato:: Paperback
Lingua:: Tedesco

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Descrizione Differential Algebraic Groups of Finite Dimension

Differential algebraic groups were introduced by P. Cassidyand E. Kolchin and are, roughly speaking, groups defined byalgebraic differential equations in the same way asalgebraic groups are groups defined by algebraic equations.The aim of the book is two-fold: 1) the provide an algebraicgeometer's introduction to differential algebraic groups and2) to provide a structure and classification theory for thefinite dimensional ones. The main idea of the approach is torelate this topic to the study of: a) deformations of (notnecessarily linear) algebraic groups and b) deformations oftheir automorphisms. The reader is assumed to possesssomestandard knowledge of algebraic geometry but no familiaritywith Kolchin's work is necessary. The book is both aresearch monograph and an introduction to a new topic andthus will be of interest to a wide audience ranging fromresearchers to graduate students.

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Differential Algebraic Groups of Finite Dimension

Alexandru Buium

Springer Berlin Heidelberg

9783540551812

3540551816

Descrizione Differential Algebraic Groups of Finite Dimension

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