Compact Kähler manifolds with elliptic homotopy type

Details Compact Kähler manifolds with elliptic homotopy type Compact Kähler manifolds with elliptic homotopy type

2009-01-21

arxiv.org/abs/0901.3211v1

Mathematics

Algebraic Geometry

17 pages

Scientific paper

Simply connected compact K\"ahler 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 K\"ahler surfaces and Fano
threefolds with elliptic homotopy type.

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