000			01989nam 2200313| 4500
001			84583
005			20220202143137.0
010			_a978-3-319-26638-1 _dcompra
090			_a84583
100			_a20190128d2016 k||y0pory50 ba
101	0		_aeng
102			_aUS
200	1		_aNéron models and base change _bDocumento electrónico _fLars Halvard Halle, Johannes Nicaise
210			_aCham _cSpringer _d2016
215			_aX, 151 p.
225	2		_aLecture notes in mathematics
300			_aColocação: Online
303			_aPresenting the first systematic treatment of the behavior of Néron models under ramified base change, this book can be read as an introduction to various subtle invariants and constructions related to Néron models of semi-abelian varieties, motivated by concrete research problems and complemented with explicit examples. Néron models of abelian and semi-abelian varieties have become an indispensable tool in algebraic and arithmetic geometry since Néron introduced them in his seminal 1964 paper. Applications range from the theory of heights in Diophantine geometry to Hodge theory. We focus specifically on Néron component groups, Edixhoven’s filtration and the base change conductor of Chai and Yu, and we study these invariants using various techniques such as models of curves, sheaves on Grothendieck sites and non-archimedean uniformization. We then apply our results to the study of motivic zeta functions of abelian varieties. The final chapter contains a list of challenging open questions. This book is aimed towards researchers with a background in algebraic and arithmetic geometry.
410	1		_x0075-8434 _v2156
606			_aGeometria algébrica
606			_aTeoria dos números
680			_aQA564
700			_aHalle _bLars Halvard
701			_aNicaise _bJohannes
801		0	_gRPC _aPT
856			_uhttps://doi.org/10.1007/978-3-319-26638-1
942			_2lcc _cF _n0