EAN: 9783662471531

COLLECTED WORKS IN MATHEMATICS COLLECTED MATH...

This volume contains almost all mathematical papers published between 1943 and 1984 of Igor R.
Shafarevich. They appear in English translations (with two exceptions  which are in French and
German)  some of the papers have been translated into English especially for this edition.
Notes by Shafarevich at the end of the volume contain corrections and remarks on the subsequent
development of the subjects considered in the papers. Igor R. Shafarevich has made a big impact
on mathematics. He has worked in the fields of algebra  algebraic number theory  algebraic
geometry and arithmetic algebraic geometry. His papers reflect his broad interests and include
topics such as the proof of the general reciprocity law  the realization of groups as Galois
groups of number fields  class field towers  algebraic surfaces (in particular K3 surfaces) 
elliptic curves  and finiteness results on abelian varieties  algebraic curves over number
fields and lie algebras.

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