Revised Demailly's Affineness Criterion and Algebraization of Entire Grauert Tubes
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911654842728448 |
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| author | Song, Kyobeom |
| author_facet | Song, Kyobeom |
| contents | We provide a partial answer to Burns' 1982 conjecture on the affineness of entire Grauert tubes: the complement of a codimension-one subset of an entire Grauert tube is affine. This result is obtained by establishing a generalized version of Demailly's criterion for affineness of Stein manifolds, which may be of independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_05582 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Revised Demailly's Affineness Criterion and Algebraization of Entire Grauert Tubes Song, Kyobeom Complex Variables Algebraic Geometry Differential Geometry 32Q28, 14R05, 53C55 We provide a partial answer to Burns' 1982 conjecture on the affineness of entire Grauert tubes: the complement of a codimension-one subset of an entire Grauert tube is affine. This result is obtained by establishing a generalized version of Demailly's criterion for affineness of Stein manifolds, which may be of independent interest. |
| title | Revised Demailly's Affineness Criterion and Algebraization of Entire Grauert Tubes |
| topic | Complex Variables Algebraic Geometry Differential Geometry 32Q28, 14R05, 53C55 |
| url | https://arxiv.org/abs/2605.05582 |