background
logo
ArxivPaperAI

Derivative of volumes of big cohomology classes

Author:
Duc-Viet Vu
Keyword:
Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Complex Variables (math.CV)
journal:
--
date:
2023-07-28 16:00:00
Abstract
We prove that the partial derivative of the volume function of big classes along any real divisor in a compact Kaehler manifold is equal to the numerical restricted volume of that class to the divisor. A consequence of our main result is that the divisorial components of the non-Kaehler locus of a big class lie in fact in the null locus of that class.
PDF: Derivative of volumes of big cohomology classes.pdf
Empowered by ChatGPT