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math.AG2023
Operations on transcendental non-Archimedean metrics
Mingchen Xia
We define the basic pluripotential-theoretic operations in terms of the transcendental theory of non-Archimedean metrics introduced in \cite{DXZ23}. In particular, we establish tha…
math.DG2023
Transcendental Okounkov bodies
Tamás Darvas, Rémi Reboulet, David Witt Nyström +2
We show that the volume of transcendental big -classes on compact Kähler manifolds can be realized by convex bodies, thus answering questions of Lazarsfeld-Mustaţă and Deng.…