Download Néron Models and Base Change (Lecture Notes in Mathematics) by Lars Halvard Halle,Johannes Nicaise PDF

By Lars Halvard Halle,Johannes Nicaise

the first systematic therapy of the habit of Néron versions less than ramified
base swap, this ebook should be learn as an creation to varied subtle
invariants and buildings relating to Néron versions of semi-abelian varieties,
motivated by means of concrete learn difficulties and complemented with explicit

Néron types of abelian and
semi-abelian kinds became an essential instrument in algebraic and
arithmetic geometry for the reason that Néron brought them in his seminal 1964 paper.
Applications diversity from the speculation of heights in Diophantine geometry to Hodge

We concentration in particular on Néron part teams, Edixhoven’s filtration
and the bottom swap conductor of Chai and Yu, and we research those invariants
using a variety of innovations corresponding to versions of curves, sheaves on Grothendieck
sites and non-archimedean uniformization. We then follow our effects to the
study of motivic zeta services of abelian types. the ultimate chapter
contains an inventory of tough open questions. This e-book is aimed towards
researchers with a history in algebraic and mathematics geometry.

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