Mori Dream Spaces and blow-ups of weighted projective spaces
Speaker:
Zhuang He, Northeastern University
Date and Time:
Tuesday, June 19, 2018 - 2:30pm to 2:50pm
Location:
Earth Sciences Centre, room B149
Abstract:
Mori Dream Spaces were introduced by Hu and Keel as normal, Q-factorial projective varieties whose effective cone admits a nice decomposition. Mori's minimal model program can be run for every divisor on a Mori Dream Space. We study the question whether the blow-up of a weighted projective space at a general point is a Mori Dream Space. For every n≥3, we find a sufficient condition for the blow-up of P(a,b,c,d1,⋯,dn−2) at the identity point not to be a Mori Dream Space. We exhibit several infinite sequences of weights satisfying this condition in all dimensions n≥3.