Bounds on fake weighted projective space
Kasprzyk, Alexander M.
Kodai Math. J., Tome 32 (2009) no. 1, p. 197-208 / Harvested from Project Euclid
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/Σλi if we wish X to have only terminal (or canonical) singularities.
Publié le : 2009-06-15
Classification: 
@article{1245982903,
     author = {Kasprzyk, Alexander M.},
     title = {Bounds on fake weighted projective space},
     journal = {Kodai Math. J.},
     volume = {32},
     number = {1},
     year = {2009},
     pages = { 197-208},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1245982903}
}
Kasprzyk, Alexander M. Bounds on fake weighted projective space. Kodai Math. J., Tome 32 (2009) no. 1, pp.  197-208. http://gdmltest.u-ga.fr/item/1245982903/