TRANSCENDENTAL OKOUNKOV BODIES
Artikel i vetenskaplig tidskrift, 2026
We show that the volume of transcendental big (1, 1)-classes on compact Kahler manifolds can be realized by convex bodies, thus answering questions of Lazarsfeld-Mustata and Deng. In our approach we use an approximation process by partial Okounkov bodies together with properties of the restricted volume, and we study the extension of Kahler currents, as well as the bimeromorphic behavior of currents with analytic singularities. We also establish a connection between transcendental Okounkov bodies and toric degenerations.
Författare
Tamas Darvas
University of Maryland
Remi Reboulet
Inst Camille Jordan
David Witt Nyström
Chalmers, Matematiska vetenskaper, Algebra och geometri
Göteborgs universitet
Mingchen Xia
University of Science and Technology of China
Kewei Zhang
Beijing Normal University
Journal of Differential Geometry
0022-040X (ISSN) 1945743x (eISSN)
Vol. 132 1 135-178Ämneskategorier (SSIF 2025)
Geometri