Bounds on Fake Weighted Projective Space
نویسنده
چکیده
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 (λ0, . . . , λn). We see how the singularities of P(λ0, . . . , λn) 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 λj/ ∑ λi if we wish X to have only terminal (or canonical) singularities.
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تاریخ انتشار 2009