Bounds on fake weighted projective space

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Kasprzyk, Alexander M. (2009) Bounds on fake weighted projective space. Kodai Mathematical Journal, 32 (2). pp. 197-208. ISSN 1881-5472

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Official URL: http://projecteuclid.org/euclid.kmj/1245982903

Abstract

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.

Item Type:

Article

RIS ID:

https://nottingham-repository.worktribe.com/output/1013721

Keywords:

Weighted projective space, canonical, terminal

Schools/Departments:

University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences

Identification Number:

https://doi.org/10.2996/kmj/1245982903

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