A remark on rationally connected varieties and Mori Dream Spaces

Claudio Fontanari, Diletta Martinelli

Research output: Contribution to journalArticlepeer-review

Abstract

In this short note, we show that a construction by Ottem [Ott15, Theorem 1.1] provides an example of a rationally connected variety that is not birationally equivalent to a Mori dream space with terminal singularities. This answers in the
negative (at least in the category of terminal varieties) a question posed by Krylov [Kry15, Remark 5.7].
Original languageEnglish
Pages (from-to)259-263
Number of pages6
JournalProceedings of the Edinburgh Mathematical Society
Volume62
Issue number1
Early online date26 Sep 2018
DOIs
Publication statusPublished - Feb 2019

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