Bounds on fake weighted projective space

Kasprzyk, Alexander M.

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.

Citation

Kasprzyk, A. M. (2009). Bounds on fake weighted projective space. Kodai Mathematical Journal, 32(2). https://doi.org/10.2996/kmj/1245982903

• Journal Article Type: Article
• Publication Date: Jun 1, 2009
• Deposit Date: Nov 12, 2015
• Publicly Available Date: Nov 12, 2015
• Journal: Kodai Mathematical Journal
• Peer Reviewed: Peer Reviewed
• Volume: 32
• Issue: 2
• DOI: https://doi.org/10.2996/kmj/1245982903
• Keywords: Weighted projective space, canonical, terminal
• Public URL: https://nottingham-repository.worktribe.com/output/1013721
• Publisher URL: http://projecteuclid.org/euclid.kmj/1245982903
• Related Public URLs: http://projecteuclid.org/euclid.kmj