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Collected Mathematical Papers (Paperback, 1st ed. 1989, Reprint 2015 of the 1989 edition)
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Collected Mathematical Papers (Paperback, 1st ed. 1989, Reprint 2015 of the 1989 edition)
Series: Springer Collected Works in Mathematics
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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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