3 papers
math.AG2024
A generic Torelli Theorem for certain log Calabi--Yau threefolds
Wendelin Lutz
We prove a generic Torelli theorem for families of smooth three-dimensional log Calabi--Yau pairs, under the assumptions that one…
math.AG2024
The Morrison Cone Conjecture under Deformation
Wendelin Lutz
We prove that the Morrison--Kawamata cone conjecture is invariant under deformation for smooth Calabi--Yau threefolds. The proof compares the nef and movable cones of to those…
math.AG2021
Mirrors to Del Pezzo Surfaces and the Classification of -Polygons
Wendelin Lutz
We give a new geometric proof of the classification of -polygons, a theorem originally due to Kasprzyk, Nill and Prince, using ideas from mirror symmetry. In particular, this gi…