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Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic g
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Néron models were invented by A. Néron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arithm
Real Algebraic Geometry
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Ten years after the first Rennes international meeting on real algebraic geometry, the second one looked at the developments in the subject during the interveni
Partial Differential Relations
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Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

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The classical theory of partial differential equations is rooted in physics, where equations (are assumed to) describe the laws of nature. Law abiding functions
Degeneration of Abelian Varieties
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Authors: Gerd Faltings
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A new and complete treatment of semi-abelian degenerations of abelian varieties, and their application to the construction of arithmetic compactifications of Si