Compact Kähler manifolds with elliptic homotopy type |
| |
| Authors: | Jaume Amoró s,Indranil Biswas |
| |
| Affiliation: | a Dept. Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Diagonal 647, 08028 Barcelona, Spain
b School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Rd, Bombay 400005, India |
| |
| Abstract: | Simply connected compact Kähler manifolds of dimension up to three with elliptic homotopy type are characterized in terms of their Hodge diamonds. For surfaces there are only two possibilities, namely h1,1?2 with hp,q=0 for p≠q. For threefolds, there are three possibilities, namely h1,1?3 with hp,q=0 for p≠q. This characterization in terms of the Hodge diamonds is applied to explicitly classify the simply connected Kähler surfaces and Fano threefolds with elliptic homotopy type. |
| |
| Keywords: | Rational homotopy Kä hler manifold Elliptic homotopy type Projective manifold |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
