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Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
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Neron Models (Hardcover, 1990 ed.)
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Neron Models (Hardcover, 1990 ed.)
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 21
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NA(c)ron models were invented by A. NA(c)ron in the early 1960s in
order to study the integral structure of abelian varieties over
number fields. Since then, arithmeticians and algebraic geometers
have applied the theory of NA(c)ron models with great success.
Quite recently, new developments in arithmetic algebraic geometry
have prompted a desire to understand more about NA(c)ron models,
and even to go back to the basics of their construction. The
authors have taken this as their incentive to present a
comprehensive treatment of NA(c)ron models. This volume of the
renowned "Ergebnisse" series provides a detailed demonstration of
the construction of NA(c)ron models from the point of view of
Grothendieck's algebraic geometry. In the second part of the book
the relationship between NA(c)ron models and the relative Picard
functor in the case of Jacobian varieties is explained. The authors
helpfully remind the reader of some important standard techniques
of algebraic geometry. A special chapter surveys the theory of the
Picard functor.
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