کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665343 1633807 2015 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Compact Kähler manifolds admitting large solvable groups of automorphisms
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Compact Kähler manifolds admitting large solvable groups of automorphisms
چکیده انگلیسی

Let G be a group of automorphisms of a compact Kähler manifold X of dimension n   and N(G)N(G) the subset of null-entropy elements. Suppose G admits no non-abelian free subgroup. Improving the known Tits alternative, we obtain that, up to replace G   by a finite-index subgroup, either G/N(G)G/N(G) is a free abelian group of rank ≤n−2≤n−2, or G/N(G)G/N(G) is a free abelian group of rank n−1n−1 and X is a complex torus, or G   is a free abelian group of rank n−1n−1. If the last case occurs, X is G-equivariant birational to the quotient of an abelian variety provided that X   is a projective manifold of dimension n≥3n≥3 and is not rationally connected. We also prove and use a generalization of a theorem by Fujiki and Lieberman on the structure of Aut(X)Aut(X).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 281, 20 August 2015, Pages 333–352
نویسندگان
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