KASS seminar

Abstract: The toric pluripotential theory on ample line bundles was established by Coman—Guedj—Sahin—Zeriahi in 2019. Their approach relies crucially on the fact of the existence of a canonical invariant Kähler metric in an ample class, known as the Guillemin metric in symplectic geometry.

In the case of a big line bundles, I’ll explain how to get around Guillemin’s construction using the theory of partial Okounkov bodies and establish the toric pluripotential theory in general.