Mingchen Xia, USTC: Monotonicity of Monge–Ampère products
Overview
The event has passed
Date:
Starts 27 February 2026, 10:00Ends 27 February 2026, 11:00Location:
MV:L14, Chalmers tvärgata 3Language:
English
Abstract: Given closed positive (1,1) currents T_1,…,T_n on a compact Kähler manifold, the mixed volume is monotone with respect to the singularity types of the currents. We give a quantitative formula expressing the monotonicity in terms of the differences of the Lelong numbers and the restricted volumes of certain b-divisors. Our result gives a systematic way of deriving new inequalities of movable intersection products and non-pluripolar products.
Lars Martin Sektnan
- Head of Unit, Algebra and Geometry, Mathematical Sciences