Superforms, supercurrents and convex geometry
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913669444534272 |
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| author | Berndtsson, Bo |
| author_facet | Berndtsson, Bo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02896 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Superforms, supercurrents and convex geometry Berndtsson, Bo Metric Geometry Algebraic Geometry Complex Variables 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. |
| title | Superforms, supercurrents and convex geometry |
| topic | Metric Geometry Algebraic Geometry Complex Variables |
| url | https://arxiv.org/abs/2501.02896 |