Doctor of Philosophy (PHD)
Mathematics (Arts and Sciences)
Date of Defense
First Committee Member
Second Committee Member
Bruno De Oliveira
Third Committee Member
Fourth Committee Member
We consider n - dimensional, with n greater or equal to 4, flexible quasi-affine varieties X, that are varieties on which the group generated by all one-parameter unipotent subgroups of Aut(X) acts transitively. We prove that for any subvariety Y of X, isomorphic to a line, every SL(n) - automorphism of the normal bundle of Y is induced by a global automorphism of X. We also extend this result also to automorphisms of jet bundles on Y.
Extension problem; flexible varieties
Udumyan, David, "Extension Problem for Flexible Varieties" (2019). Open Access Dissertations. 2324.