Compact Kähler threefolds with the action of an abelian group of maximal rank
Copyright policy )Compact Kähler threefolds with the action of an abelian group of maximal rank
In this note, we study the normal compact Kähler (possibly singular) threefold X X admitting the action of a free abelian group G G of maximal rank, all the non-trivial elements of which are of positive entropy. If such X X is further assumed to have only terminal singularities, then we prove that it is either a rationally connected projective threefold or bimeromorphic to a quasi-étale quotient of a complex 3 3 -torus.
- National University of Singapore Singapore
automorphisms, Dynamical Systems (math.DS), Abelian varieties of dimension \(> 1\), Mathematics - Algebraic Geometry, tori, 08A35, 14J50, 11G10, Automorphisms of surfaces and higher-dimensional varieties, FOS: Mathematics, Mathematics - Dynamical Systems, compact Kähler threefolds, complex dynamics, Algebraic Geometry (math.AG)
automorphisms, Dynamical Systems (math.DS), Abelian varieties of dimension \(> 1\), Mathematics - Algebraic Geometry, tori, 08A35, 14J50, 11G10, Automorphisms of surfaces and higher-dimensional varieties, FOS: Mathematics, Mathematics - Dynamical Systems, compact Kähler threefolds, complex dynamics, 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).2 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!