Presenting the 1st systematic therapy of the habit of Néron types less than ramified base switch, this publication could be learn as an advent to varied refined invariants and buildings on the topic of Néron types of semi-abelian forms, prompted by means of concrete study difficulties and complemented with particular examples.
Néron versions of abelian and semi-abelian types became an integral software in algebraic and mathematics geometry because Néron brought them in his seminal 1964 paper. functions variety from the speculation of heights in Diophantine geometry to Hodge theory.
We concentration particularly on Néron part teams, Edixhoven’s filtration and the bottom swap conductor of Chai and Yu, and we research those invariants utilizing a variety of suggestions comparable to versions of curves, sheaves on Grothendieck websites and non-archimedean uniformization. We then follow our effects to the examine of motivic zeta services of abelian forms. the ultimate bankruptcy includes a checklist of not easy open questions. This booklet is aimed in the direction of researchers with a heritage in algebraic and mathematics geometry.
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