Superforms, supercurrents and convex geometry

Bo Berndtsson

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arXiv · 2501.02896

Superforms, supercurrents and convex geometry

Bo Berndtsson

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Abstract

We develop the calculus of superforms as a tool for convex geometry. The formalism is applied to valuations on convex bodies, the Alexandrov-Fenchel inequalities and Monge- Ampère equations on the boundary of convex bodies.

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BibTeX RIS

Bo Berndtsson. 2026-08-06. Superforms, supercurrents and convex geometry. https://arxiv.org/abs/2501.02896

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