The International Center for Mathematical Sciences – Sofia (ICMS-Sofia)
The Institute of the Mathematical Sciences of the Americas (IMSA-Miami)


Joint ICMS & IMSA Seminar

February 18, 2022,
09:30 AM Eastern Time (US and Canada)

Hosted by IMSA-Miami, via Zoom

Erik Paemurru


Birational geometry of sextic double solids with a compound An singularity

Sextic double solids, double covers of ℙ3 branched along a sextic surface, are the lowest degree Gorenstein Fano 3-folds, hence are expected to behave very rigidly in terms of birational geometry. Smooth sextic double solids, and those which are ℚ-factorial with ordinary double points, are known to be birationally rigid. In this talk, we discuss birational geometry of sextic double solids with an isolated compound An singularity. I have shown that n is at most 8, and that rigidity fails for n > 3.

Тhe lectures will be held via Zoom.