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Sep 14, 2020 at 14:16 comment added Ray Lai Kostya: Yes, you are right. I apologize for making another mistake. From Mori's list of extremal contraction on smooth threefolds, one can contract a singular irreducible reduced quadric Q in P^3 to a terminal point. The surface Q is RCC, but not RC.
Sep 14, 2020 at 14:13 history edited Ray Lai CC BY-SA 4.0
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Dec 28, 2019 at 17:33 comment added kostya Dear Ray Lai, as far as I can see Hacon and McKernan assert rational chain connectedness of E. Is E in fact rational connected?
Nov 24, 2017 at 8:49 comment added Ray Lai Sorry, you are right. Artin-Mumford's conic bundle over $\mathbb{P}^2$ is a unirational but non-stably-rational variety. A related survey is given by Piruka
Nov 24, 2017 at 8:48 history edited Ray Lai CC BY-SA 3.0
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Sep 27, 2017 at 8:52 comment added Li Yutong Thank you for your answer! Why "1. when $W$ is also rationally connected" implies the existence of a section following from GHMZ's paper? Which result did you refer to?
Sep 26, 2017 at 7:38 review First posts
Sep 26, 2017 at 7:39
Sep 26, 2017 at 7:33 history answered Ray Lai CC BY-SA 3.0