Work

Regularity of the volume function

Year: 2025

Type: article

Abstract: We prove the optimal regularity of the volume function on the big cone of a projective manifold, and investigate its regularity when restricted to segments moving in ample directions.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70212

Authors: Junyu Cao, Valentino Tosatti

Institutions: Courant Institute of Mathematical Sciences, New York University

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Geometric Analysis and Complex Geometry

OpenAlex ID: W4415024441

FWCI:

Cites: 24

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