Weak admissibility in algebraic families - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-18T22:00:03Z http://mathoverflow.net/feeds/question/106408 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/106408/weak-admissibility-in-algebraic-families Weak admissibility in algebraic families Daniel Larsson 2012-09-05T07:25:15Z 2012-09-05T07:31:49Z <p>Let $M$ be an algebraic family of isocrystals over a base scheme $R/\mathbb{Q}_p$ (<strong>not</strong> a rigid analytic space). </p> <p>The question is: is the set of weakly admissible points (i.e., the points $r\in R$ over which $M$ is weakly admissible) Zariski closed or open (or neither)? </p> <p>The answer might be very simple and/or well-known, but I haven't been able to figure it out.</p> <p>Thanks for any help!</p>