Wendelin Lutz

collaborators

4 papers

math.SG2025

Homological mirror symmetry for log Calabi-Yau surfaces

Paul Hacking, Ailsa Keating, Wendelin Lutz

Given a log Calabi-Yau surface $Y$ with maximal boundary $D$ and distinguished complex structure, we explain how to construct a mirror Lefschetz fibration $w : M \to C$ , wh…

math.AG2025

The Morrison Cone Conjecture under Deformation

Wendelin Lutz

We prove that if the Morrison cone conjecture holds for a smooth Calabi-Yau threefold $Y$ , it holds for any smooth Calabi-Yau threefold deformation-equivalent to $Y$ . We use this r…

math.AG2024

A Torelli Theorem for log Calabi--Yau threefolds

Wendelin Lutz

We prove a generic Torelli theorem for a class of three-dimensional log Calabi--Yau pairs $(Y, D)$ with maximal boundary.

math.AG2024

Mirrors to Del Pezzo Surfaces and the Classification of $T$ -Polygons

Wendelin Lutz

We give a new geometric proof of the classification of $T$ -polygons, a theorem originally due to Kasprzyk, Nill and Prince, using ideas from mirror symmetry. In particular, this gi…

Homological mirror symmetry for log Calabi-Yau surfaces

The Morrison Cone Conjecture under Deformation

A Torelli Theorem for log Calabi--Yau threefolds

Mirrors to Del Pezzo Surfaces and the Classification of T-Polygons

Mirrors to Del Pezzo Surfaces and the Classification of $T$ -Polygons