Session S35 - Moduli Spaces in Algebraic Geometry and Applications

Thursday, July 15, 14:40 ~ 15:20 UTC-3

Special surfaces on special cubic fourfolds

Emanuele Macri

Université Paris-Saclay, France   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

I will report on a possible characterization of Hassett divisors on the moduli space of cubic fourfolds by the property of containing special surfaces. We will discuss a construction of such special surfaces for infinitely many divisors and the relation with the work of Russo and Staglianò on rationality of such cubics in low discriminant.

Joint work with Arend Bayer (University of Edinburgh), Aaron Bertram (University of Utah) and Alex Perry (University of Michigan).

View abstract PDF