Almost complex setting for Kodaira dimension

Abstract: The concept of Kodaira dimension has been recently extended from complex to almost complex context by H. Chen and W. Zhang. In this talk, first we describe similarities and differences between Kodaira dimension for complex and almost complex manifolds, then we focus on compact 4-dimensional solvmanifolds without any integrable almost complex structure. We present recent results for Kodaira dimension of certain families of almost complex structures, providing a twistorial description. Also we describe some aspects of the correspondence between Kodaira dimension and curvature. Results are based on joint works with A. Tomassini and A. Cattaneo.

Mathematics

Audience: researchers in the topic

Geometry Seminar - University of Florence

Series comments: If you are interested in attending, please send a message to daniele.angella@unifi.it or francesco.pediconi@unifi.it.