All 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.