Some results on compact Kahler manifolds with elliptic homotopy type

TL;DR

This paper investigates the properties of compact Kähler manifolds with elliptic homotopy type, providing classifications of their Hodge diamonds in specific dimensions and partial characterizations in general.

Contribution

It offers new classifications and partial characterizations of the Hodge diamonds of such manifolds, advancing understanding in complex geometry.

Findings

Hodge diamonds classified in complex dimension 4

Partial characterization of Hodge diamonds in higher dimensions

Results contribute to the understanding of elliptic homotopy types in Kähler geometry

Abstract

We show some results of compact Kahler manifolds with elliptic homotopy type. In complex dimension 4 we list the Hodge diamonds of compact Kahler manifolds with elliptic homotopy type. In general dimension we obtain a partial characterization of the Hodge diamonds.