On the anticanonical complex
Algebraic Geometry
2019-11-07 v2
Abstract
The anticanonical complex has been introduced as a natural generalization of the toric Fano polytope and so far has been succesfully used for the study of varieties with a torus action of complexity one. In the present article we enlarge the area of application of the anticanonical complex to varieties with a torus action of higher complexity, for example, general arrangement varieties. As an application of our techniques we classify the three-dimensional canonical Fano intrinsic quadrics with automorphism group having a maximal torus of dimension one.
Keywords
Cite
@article{arxiv.1808.01997,
title = {On the anticanonical complex},
author = {Christoff Hische and Milena Wrobel},
journal= {arXiv preprint arXiv:1808.01997},
year = {2019}
}
Comments
32 pages