Log Abelian Varieties over a Log Point
Copyright policy )Log Abelian Varieties over a Log Point
We study (weak) log abelian varieties with constant degeneration in the log flat topology. If the base is a log point, we further study the endomorphism algebras of log abelian varieties. In particular, we prove the dual short exact sequence for isogenies, Poincaré complete reducibility theorem for log abelian varieties, and the semi-simplicity of the endomorphism algebras of log abelian varieties.
Mathematics - Number Theory, log abelian varieties with constant degeneration, dual short exact sequence for isogenies, Abelian varieties and schemes, Poincaré complete reducibility theorem, Fibrations, degenerations in algebraic geometry, Arithmetic algebraic geometry (Diophantine geometry), 14D06 (11G05), Mathematics - Algebraic Geometry, Mathematik, FOS: Mathematics, Number Theory (math.NT), Algebraic Geometry (math.AG)
Mathematics - Number Theory, log abelian varieties with constant degeneration, dual short exact sequence for isogenies, Abelian varieties and schemes, Poincaré complete reducibility theorem, Fibrations, degenerations in algebraic geometry, Arithmetic algebraic geometry (Diophantine geometry), 14D06 (11G05), Mathematics - Algebraic Geometry, Mathematik, FOS: Mathematics, Number Theory (math.NT), Algebraic Geometry (math.AG)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!