Néron Models and Base Change
Publikation: Bog/antologi/afhandling/rapport › Bog › Forskning › fagfællebedømt
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Néron Models and Base Change. / Halle, Lars Halvard; Nicaise, Johannes.
Springer Science+Business Media, 2016. 153 s. (Lecture Notes in Mathematics, Bind 2156).Publikation: Bog/antologi/afhandling/rapport › Bog › Forskning › fagfællebedømt
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TY - BOOK
T1 - Néron Models and Base Change
AU - Halle, Lars Halvard
AU - Nicaise, Johannes
PY - 2016
Y1 - 2016
N2 - Presenting the first systematic treatment of the behavior of Néron models under ramifiedbase change, this book can be read as an introduction to various subtle invariants andconstructions related to Néron models of semi-abelian varieties, motivated by concreteresearch problems and complemented with explicit examples.Néron models of abelian and semi-abelian varieties have become an indispensable toolin algebraic and arithmetic geometry since Néron introduced them in his seminal 1964paper. Applications range from the theory of heights in Diophantine geometry to Hodgetheory.We focus specifically on Néron component groups, Edixhoven’s filtration and the basechange conductor of Chai and Yu, and we study these invariants using various techniquessuch as models of curves, sheaves on Grothendieck sites and non-archimedeanuniformization. We then apply our results to the study of motivic zeta functions of abelianvarieties. The final chapter contains a list of challenging open questions. This book isaimed towards researchers with a background in algebraic and arithmetic geometry
AB - Presenting the first systematic treatment of the behavior of Néron models under ramifiedbase change, this book can be read as an introduction to various subtle invariants andconstructions related to Néron models of semi-abelian varieties, motivated by concreteresearch problems and complemented with explicit examples.Néron models of abelian and semi-abelian varieties have become an indispensable toolin algebraic and arithmetic geometry since Néron introduced them in his seminal 1964paper. Applications range from the theory of heights in Diophantine geometry to Hodgetheory.We focus specifically on Néron component groups, Edixhoven’s filtration and the basechange conductor of Chai and Yu, and we study these invariants using various techniquessuch as models of curves, sheaves on Grothendieck sites and non-archimedeanuniformization. We then apply our results to the study of motivic zeta functions of abelianvarieties. The final chapter contains a list of challenging open questions. This book isaimed towards researchers with a background in algebraic and arithmetic geometry
UR - https://www.springer.com/us/book/9783319266374
U2 - 10.1007/978-3-319-26638-1
DO - 10.1007/978-3-319-26638-1
M3 - Book
SN - 978-3-319-26637-4
T3 - Lecture Notes in Mathematics
BT - Néron Models and Base Change
PB - Springer Science+Business Media
ER -
ID: 153309220