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Showing 2023 · math.AGShow all
3 papers · 2 filters
math.AG2023
The volume of a divisor and cusp excursions of geodesics in hyperbolic manifolds
Simion Filip, John Lesieutre, Valentino Tosatti
We give a complete description of the behavior of the volume function at the boundary of the pseudoeffective cone of certain Calabi-Yau complete intersections known as Wehler N-fol…
math.AG2023★ 2 cited
Special Kähler geometry and holomorphic Lagrangian fibrations
Yang Li, Valentino Tosatti
Given a holomorphic Lagrangian fibration of a compact hyperkahler manifold, we use the differential geometry of the special Kahler metric that exists on the base away from the disc…
math.AG2023
Burnside rings and volume forms with logarithmic poles
Antoine Chambert-Loir, Maxim Kontsevich, Yuri Tschinkel
We develop a theory of Burnside rings in the context of birational equivalences of algebraic varieties equipped with logarithmic volume forms. We introduce a residue homomorphism a…