Regularity of the volume function

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.

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2025-10-09
DOI
https://doi.org/10.1112/blms.70212
Primary Topic
Geometry and complex manifolds
Type
article
Field-Weighted Citation Impact
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article

Regularity of the volume function

Valentino Tosatti, Jiguo Cao
Bulletin of the London Mathematical Society
Geometry and complex manifolds
article

Regularity of the volume function

Valentino Tosatti, Jiguo Cao
article en

Abstract

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.

Bulletin of the London Mathematical SocietyVol. 58(1)
Courant Institute of Mathematical Sciences (US), New York University (US)
Openalex Percentile: Top 66%
Geometry and complex manifolds
DOISourceOpenAlex
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Regularity of the volume function — Valentino Tosatti, Jiguo Cao · Bulletin of the London Mathematical Society (2025) | TGRS Research Map | TGRS