GdT Komplex

Torelli Theorem for Looijenga surfaces

by Mr Shengyuan Zhao (IMT)

Pelos (IMT)




Looijenga surfaces are log Calabi-Yau surfaces, thus log analogues of K3 surfaces. We have a classical Torelli Theorem for K3 surfaces which says that a K3 surface is essentially determined by its cohomological information, i.e. two K3 surfaces are isomorphic if there is an isomorphism between cohomological groups preserving certain structures. I will present a result of Gross-Hacking-Keel showing that Looijenga surfaces satisfy a similar Torelli Theorem.