Abstract: I will describe natural algebraic vector bundles on Demailly-Semple jet tower and give some ideas to compute their algebra of global sections.
The background question is to localise entire curves (i.e. holomorphic maps from the whole complex line) in projective varieties. That an entire curve fulfils an algebraic differential equation corresponds to the fact that its jet lies in the zero locus of a global section of a natural line bundle. Producing many sections therefore helps to prove the constancy of all entire curves i.e. Kobayashi hyperbolicity.
MV:L14, Chalmers tvärgata 3
29 September, 2022, 13:15
29 September, 2022, 14:00