Non-complete rational T-varieties of complexity one
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2015
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| _version_ | 1866909676067618816 |
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| author | Hausen, Juergen Wrobel, Milena |
| author_facet | Hausen, Juergen Wrobel, Milena |
| contents | We consider rational varieties with a torus action of complexity one and extend the combinatorial approach via the Cox ring developed for the complete case in earlier work to the non-complete, e.g. affine, case. This includes in particular a description of all factorially graded affine algebras of complexity one with only constant homogeneous invertible elements in terms of canonical generators and relations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1512_08930 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Non-complete rational T-varieties of complexity one Hausen, Juergen Wrobel, Milena Algebraic Geometry 14L30, 13A05, 13F15 We consider rational varieties with a torus action of complexity one and extend the combinatorial approach via the Cox ring developed for the complete case in earlier work to the non-complete, e.g. affine, case. This includes in particular a description of all factorially graded affine algebras of complexity one with only constant homogeneous invertible elements in terms of canonical generators and relations. |
| title | Non-complete rational T-varieties of complexity one |
| topic | Algebraic Geometry 14L30, 13A05, 13F15 |
| url | https://arxiv.org/abs/1512.08930 |