Mori Dream Stacks
Algebraic Geometry
2018-01-17 v2
Abstract
We propose a generalisation of Mori dream spaces to stacks. We show that this notion is preserved under root constructions and taking abelian gerbes. Unlike the case of Mori dream spaces, such a stack is not always given as a quotient of the spectrum of its Cox ring by the Picard group. We give a criterion when this is true in terms of Mori dream spaces and root constructions. Finally, we compare this notion with the one of smooth toric Deligne-Mumford stacks.
Cite
@article{arxiv.1403.7984,
title = {Mori Dream Stacks},
author = {Andreas Hochenegger and Elena Martinengo},
journal= {arXiv preprint arXiv:1403.7984},
year = {2018}
}
Comments
19 pages, to appear in Mathematische Zeitschrift