New paper: Rationality does not specialize among terminal varieties

IMG-20150805-00382I’ve posted a new paper on the arXiv. A limit of rational varieties need not be rational, even if all varieties in the family are projective and have at most terminal singularities. This shows that a result of de Fernex and Fusi’s does not extend to higher dimensions.

Photo: Susie the cat in Westwood.

Advertisements

1 Comment

Filed under math, Susie

One response to “New paper: Rationality does not specialize among terminal varieties

  1. Artie Prendergast-Smith

    Dear Burt,

    Today I see that Kontsevich–Tschinkel proved that rationality does specialise among smooth varieties:

    https://arxiv.org/abs/1708.05699

    Best wishes,
    Artie

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s