Corpus ID: 237940688

# On intersection cohomology with torus action of complexity one, II

```@inproceedings{Vicente2021OnIC,
title={On intersection cohomology with torus action of complexity one, II},
author={Marta Agust{\'i}n Vicente and Narasimha Chary Bonala and Kevin Langlois},
year={2021}
}```
• Published 26 September 2021
• Mathematics
We show that the components, appearing in the decomposition theorem for contraction maps of torus actions of complexity one, are intersection cohomology complexes of even codimensional subvarieties. As a consequence, we obtain the vanishing of the odd dimensional intersection cohomology for rational complete varieties with torus action of complexity one. The article also presents structural results on linear torus action in order to compute the intersection cohomology from the weight matrix. In… Expand

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