Seminar

This talk focuses on the computation of a certain birational invariant, denoted as β. The core of this work involves analysing the filtration by order of vanishing of global sections of line bundles over a variety. We address this problem for certain Schubert subvarieties of a Grassmannian by using the Borel-Weil-Bott theorem. 

Let C+ be a curve of genus at least 2 embedded in its Jacobian and let C- = {-c : c in C+} be the negative embedding. The Ceresa cycle [C+] - [C-] is the simplest example of an algebraic cycle which is trivial in homology but (generally) non-trivial modulo algebraic equivalence. Hyperelliptic curves have trivial Ceresa class, but only recently examples of non-hyperelliptic curves with torsion Ceresa cycle were found.