Bounds on fake weighted projective space
A fake weighted projective space X is a Q-factorial toric variety with Picard number one. As with weighted projective space, X comes equipped with a set of weights (\lambda_0,...,\lambda_n). We see how the singularities of P(\lambda_0,...,\lambda_n) influence the singularities of X, and how the weig...
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| Format: | Article |
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Tokyo Institute of Technology, Department of Mathematics
2009
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| Online Access: | https://eprints.nottingham.ac.uk/30723/ |
| _version_ | 1848794044789948416 |
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| author | Kasprzyk, Alexander M. |
| author_facet | Kasprzyk, Alexander M. |
| author_sort | Kasprzyk, Alexander M. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | A fake weighted projective space X is a Q-factorial toric variety with Picard number one. As with weighted projective space, X comes equipped with a set of weights (\lambda_0,...,\lambda_n). We see how the singularities of P(\lambda_0,...,\lambda_n) influence the singularities of X, and how the weights bound the number of possible fake weighted projective spaces for a fixed dimension. Finally, we present an upper bound on the ratios \lambda_j/\sum\lambda_i if we wish X to have only terminal (or canonical) singularities. |
| first_indexed | 2025-11-14T19:09:56Z |
| format | Article |
| id | nottingham-30723 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:09:56Z |
| publishDate | 2009 |
| publisher | Tokyo Institute of Technology, Department of Mathematics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-307232020-05-04T20:26:17Z https://eprints.nottingham.ac.uk/30723/ Bounds on fake weighted projective space Kasprzyk, Alexander M. A fake weighted projective space X is a Q-factorial toric variety with Picard number one. As with weighted projective space, X comes equipped with a set of weights (\lambda_0,...,\lambda_n). We see how the singularities of P(\lambda_0,...,\lambda_n) influence the singularities of X, and how the weights bound the number of possible fake weighted projective spaces for a fixed dimension. Finally, we present an upper bound on the ratios \lambda_j/\sum\lambda_i if we wish X to have only terminal (or canonical) singularities. Tokyo Institute of Technology, Department of Mathematics 2009-06 Article PeerReviewed Kasprzyk, Alexander M. (2009) Bounds on fake weighted projective space. Kodai Mathematical Journal, 32 (2). pp. 197-208. ISSN 1881-5472 Weighted projective space canonical terminal http://projecteuclid.org/euclid.kmj/1245982903 doi:10.2996/kmj/1245982903 doi:10.2996/kmj/1245982903 |
| spellingShingle | Weighted projective space canonical terminal Kasprzyk, Alexander M. Bounds on fake weighted projective space |
| title | Bounds on fake weighted projective space |
| title_full | Bounds on fake weighted projective space |
| title_fullStr | Bounds on fake weighted projective space |
| title_full_unstemmed | Bounds on fake weighted projective space |
| title_short | Bounds on fake weighted projective space |
| title_sort | bounds on fake weighted projective space |
| topic | Weighted projective space canonical terminal |
| url | https://eprints.nottingham.ac.uk/30723/ https://eprints.nottingham.ac.uk/30723/ https://eprints.nottingham.ac.uk/30723/ |