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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
Volumes of Bott-Chern classes
Sébastien Boucksom, Vincent Guedj, Chinh H. Lu
We study the volumes of transcendental and possibly non-closed Bott-Chern -classes on an arbitrary compact complex manifold . We show that the latter belongs to the class…