A remark on rationally connected varieties and Mori dream spaces
arXiv:1706.05200 · doi:10.1017/S0013091518000408
Abstract
In this short note, we show that a construction by Ottem provides an example of a rationally connected variety that is not birationally equivalent to a Mori dream space. This answers in the negative (at least in the category of terminal varieties) a question posed by Krylov.
Accepted for publication in the Proceedings of the Edinburgh Mathematical Society