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arXiv · 1808.01997

On the anticanonical complex

Christoff Hische·Milena Wrobel
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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.

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Christoff Hische, Milena Wrobel. 2018-08-06. On the anticanonical complex. https://arxiv.org/abs/1808.01997

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