KASS seminar

Abstract: We prove that the partial derivative of the volume function of big classes along a prime divisor in a compact Kaehler manifold is equal to the numerical restricted volume of that class to the divisor.  This extends a previous result by Witt Nystroem in the case where the divisor is smooth and not included in the non-Kahler locus of the cohomology class.  A consequence of our main result is that the divisorial components of the non-Kaehler locus of a big class lie  in the null locus of that class.