Degenerations of elliptic K3 surfaces

Abstract: I will describe degenerations of elliptic K3 surfaces, both via Weierstrass models and Kulikov models that lead to a geometrically meaningful toroidal compactification of their moduli. Based on joint work with Engel and Brunyate.

algebraic geometrynumber theory

Audience: researchers in the topic

“Algebraic geometry and arithmetic” Viacheslav Nikulin’s 70th birthday conference

Series comments: The conference is dedicated to the 70th birthday of our colleague and friend Viacheslav Nikulin, who made a huge contribution to the theory of K3 surfaces and also other domains of geometry and arithmetic, including reflection groups, automorphic forms and infinite-dimensional Lie algebras. Topics of the conference reflect mathematical interests of the hero of the day.