Tian's stabilization problem for toric Fanos
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866929288618442752 |
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| author | Jin, Chenzi Rubinstein, Yanir A. |
| author_facet | Jin, Chenzi Rubinstein, Yanir A. |
| contents | In 1988, Tian posed the stabilization problem for equivariant global log canonical thresholds. We solve it in the case of toric Fano manifolds. This is the first general result on Tian's problem. A key new estimate involves expressing complex singularity exponents associated to orbits of a group action in terms of support and gauge functions from convex geometry. These techniques also yield a resolution of another conjecture of Tian from 2012 on more general thresholds associated to Grassmannians of plurianticanonical series. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17262 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tian's stabilization problem for toric Fanos Jin, Chenzi Rubinstein, Yanir A. Algebraic Geometry Complex Variables Differential Geometry In 1988, Tian posed the stabilization problem for equivariant global log canonical thresholds. We solve it in the case of toric Fano manifolds. This is the first general result on Tian's problem. A key new estimate involves expressing complex singularity exponents associated to orbits of a group action in terms of support and gauge functions from convex geometry. These techniques also yield a resolution of another conjecture of Tian from 2012 on more general thresholds associated to Grassmannians of plurianticanonical series. |
| title | Tian's stabilization problem for toric Fanos |
| topic | Algebraic Geometry Complex Variables Differential Geometry |
| url | https://arxiv.org/abs/2403.17262 |