The anticanonical complex for non-degenerate toric complete intersections
Algebraic Geometry
2025-07-01 v2
Abstract
The anticanonical complex generalizes the Fano polytope from toric geometry and has been used to study Fano varieties with torus action so far. We work out the case of complete intersections in toric varieties defined by non-degenerate systems of Laurent polynomials. As an application, we classify the terminal Fano threefolds that are embedded into a fake weighted projective space via a general system of Laurent polynomials.
Keywords
Cite
@article{arxiv.2006.04723,
title = {The anticanonical complex for non-degenerate toric complete intersections},
author = {Juergen Hausen and Christian Mauz and Milena Wrobel},
journal= {arXiv preprint arXiv:2006.04723},
year = {2025}
}
Comments
27 pages, further resuls added