Outputs (2)

Quartic surfaces up to volume preserving equivalence (2023)
Journal Article
Ducat, T. (2024). Quartic surfaces up to volume preserving equivalence. Selecta Mathematica (New Series), 30(1), Article 2. https://doi.org/10.1007/s00029-023-00890-7

We study log Calabi–Yau pairs of the form (P3, Δ), where Δ is a quartic surface, and classify all such pairs of coregularity less than or equal to one, up to volume preserving equivalence. In particular, if (P3, Δ) is a maximal log Calabi–Yau pair th... Read More about Quartic surfaces up to volume preserving equivalence.

The 3-dimensional Lyness map and a self-mirror log Calabi–Yau 3-fold (2023)
Journal Article
Ducat, T. (2024). The 3-dimensional Lyness map and a self-mirror log Calabi–Yau 3-fold. manuscripta mathematica, 174(1-2), 87-140. https://doi.org/10.1007/s00229-023-01497-0

The 2-dimensional Lyness map is a 5-periodic birational map of the plane which may famously be resolved to give an automorphism of a log Calabi–Yau surface, given by the complement of an anticanonical pentagon of (-1)-curves in a del Pezzo surface of... Read More about The 3-dimensional Lyness map and a self-mirror log Calabi–Yau 3-fold.