Wall-crossing phenomena for Newton-Okounkov bodies

Abstract: A Newton-Okounkov body is a convex set associated to a projective variety, equipped with a valuation. These bodies generalize the theory of Newton polytopes. Work of Kaveh-Manon gives an explicit link between tropical geometry and Newton-Okounkov bodies. We use this link to describe a wall-crossing phenomenon for Newton-Okounkov bodies. This is joint work with Megumi Harada.

algebraic geometry

Audience: researchers in the topic

UC Davis algebraic geometry seminar