Abstract

This talk will be on the classification problem of projective fibrations f : X → P¹ over the projective line, where the general fibre of f is one of the “famous 95” list of Fletcher–Reid K3 hypersurfaces in weighted projective spaces; and the fibration f : X → P¹ embeds into a weighted projective bundle as an anticanonical hypersurface with at most Ordinary Double Point singularities. I will demonstrate how to construct twisting data on F, leading to finite lists of mildly singular CY3s. I will also comment on a projective version of deformations of these CY3s that revisit earlier works of Gross and Ruan. This is part of my submitted DPhil thesis and joint work arXiv:2210.10559 with Balazs Szendroi.

Link Information: https://us02web.zoom.us/j/82260072811?pwd=RFJaakdxUkZ6K0NDeUwvV0ZyVWY0UT09