Presentingthe first systematic treatment of the behavior of Néron models under ramifiedbase
change this book can be read as an introduction to various subtleinvariants and constructions
related to Néron models of semi-abelian varieties motivated by concrete research problems and
complemented with explicitexamples. Néron models of abelian andsemi-abelian varieties have
become an indispensable tool in algebraic andarithmetic geometry since Néron introduced them in
his seminal 1964 paper.Applications range from the theory of heights in Diophantine geometry to
Hodgetheory. We focus specifically on Néron component groups Edixhoven's filtrationand the
base change conductor of Chai and Yu and we study these invariantsusing various techniques
such as models of curves sheaves on Grothendiecksites and non-archimedean uniformization. We
then apply our results to thestudy of motivic zeta functions of abelian varieties. The final
chaptercontains a list of challenging open questions. This book is aimed towardsresearchers
with a background in algebraic and arithmetic geometry.
