This is to announce the availability of a preprint, "First neighbourhood of the diagonal, and geometric distributions". Abstract: We consider the geometric notion of distribution (= subbundle of the tangent bundle) in synthetic terms, utilizing the notion of "first neighbourhood of the diagonal" from algebraic geometry. We characterize involutive distributions in combinatorial terms, and prove a version of the Ambrose-Singer Holonomy Theorem. The paper (14-pages) can be downloaded (PDF or ps) from http://xxx.lanl.gov/abs/math.DG/0206065 Anders Kock 11-Jun-2002 15:48:30 -0300,1219;000000000001-00000000