On Fano and Calabi-Yau varieties with hypersurface Cox rings

Mauz, Christian

doi:10.15496/publikation-60164

2021

DOI: 10.15496/publikation-60164

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On Fano and Calabi-Yau varieties with hypersurface Cox rings

Christian Mauz¹

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The Anticanonical Complex for Non-degenerate Toric Complete Intersections

2022

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The anticanonical complex generalizes the Fano polytope from toric geometry and has been used to study Fano varieties with torus action so far. We provide an explicit description of the anticanonical complex for 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.

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The Anticanonical Complex for Non-degenerate Toric Complete Intersections

2022

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On Fano and Calabi-Yau varieties with hypersurface Cox rings

Cited by 1 publication

References 0 publications

The Anticanonical Complex for Non-degenerate Toric Complete Intersections

The Anticanonical Complex for Non-degenerate Toric Complete Intersections

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