Deformations of Smooth Projective Toric Varieties

Abstract: We can study how a given scheme X fits into a family using the tools from the deformation theory. One begins by using infinitesimal methods, studying possible obstructions, and attempting to construct a family called a versal deformation, which collects all possible deformations. If X is a smooth projective toric variety, combinatorial descriptions of the space of first-order deformations and the obstruction to second-order deformation given by the cup product have been studied. In this talk, I will present these descriptions with an example of a smooth projective toric threefold with a quadratic obstruction. In addition, I will discuss my current research, which provides a combinatorial iterative procedure for finding higher-order obstructions.

algebraic geometrynumber theory

Audience: researchers in the discipline

SFU NT-AG seminar

Series comments: Description: Research/departmental seminar

Seminar usually meets in-person. For online editions, the Zoom link is shared via mailing list.