Compact Kähler manifolds with elliptic homotopy type

Abstract

Simply connected compact Kähler manifolds of dimension up to three with elliptic homotopy type are characterized in terms of their Hodge diamonds. This is applied to classify the simply connected Kähler surfaces and Fano threefolds with elliptic homotopy type.

17 pages

References in corpus (1)

• Quotients of products of curves, new surfaces with $p_g=0$ and their fundamental groups