High-dimensional convex sets arising in algebraic geometry
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866915024906223616 |
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| author | Rubinstein, Yanir A. |
| author_facet | Rubinstein, Yanir A. |
| contents | We introduce an asymptotic notion of positivity in algebraic geometry that turns out to be related to some high-dimensional convex sets. The dimension of the convex sets grows with the number of birational operations. In the case of complex surfaces we explain how to associate a linear program to certain sequences of blow-ups and how to reduce verifying the asymptotic log positivity to checking feasibility of the program. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1906_07929 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | High-dimensional convex sets arising in algebraic geometry Rubinstein, Yanir A. Algebraic Geometry Functional Analysis We introduce an asymptotic notion of positivity in algebraic geometry that turns out to be related to some high-dimensional convex sets. The dimension of the convex sets grows with the number of birational operations. In the case of complex surfaces we explain how to associate a linear program to certain sequences of blow-ups and how to reduce verifying the asymptotic log positivity to checking feasibility of the program. |
| title | High-dimensional convex sets arising in algebraic geometry |
| topic | Algebraic Geometry Functional Analysis |
| url | https://arxiv.org/abs/1906.07929 |