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math.DG2024
Weighted extremal Kähler metrics on resolutions of singularities
Sébastien Boucksom, Mattias Jonsson, Antonio Trusiani
Generalizing previous results of Arezzo-Pacard-Singer, Seyyedali-Székelyhidi and Hallam, we prove the invariance under smooth blowups of the class of weighted extremal Kähler manif…
math.DG2024
Convexity of the Mabuchi functional in big cohomology classes
Eleonora Di Nezza, Stefano Trapani, Antonio Trusiani
We study the Mabuchi functional associated to a big cohomology class. We define an invariant associated to transcendental Fujita approximations, whose vanishing is related to the Y…