Linear operators preserving volume polynomials
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908425752936448 |
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| author | Grund, Lukas Huh, June Michałek, Mateusz Süss, Hendrik Wang, Botong |
| author_facet | Grund, Lukas Huh, June Michałek, Mateusz Süss, Hendrik Wang, Botong |
| contents | Volume polynomials measure the growth of Minkowski sums of convex bodies and of tensor powers of positive line bundles on projective varieties. We show that Aluffi's covolume polynomials are precisely the polynomial differential operators that preserve volume polynomials, reflecting a duality between homology and cohomology. We then present several applications to matroid theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22415 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Linear operators preserving volume polynomials Grund, Lukas Huh, June Michałek, Mateusz Süss, Hendrik Wang, Botong Algebraic Geometry Combinatorics 14C17, 05B35, 52A39 Volume polynomials measure the growth of Minkowski sums of convex bodies and of tensor powers of positive line bundles on projective varieties. We show that Aluffi's covolume polynomials are precisely the polynomial differential operators that preserve volume polynomials, reflecting a duality between homology and cohomology. We then present several applications to matroid theory. |
| title | Linear operators preserving volume polynomials |
| topic | Algebraic Geometry Combinatorics 14C17, 05B35, 52A39 |
| url | https://arxiv.org/abs/2506.22415 |