A well-known result of Nakamaye states that the augmented base locus of a nef and big line bundle on a smooth projective variety over the complex numbers equals its null locus. I will discuss an extension of this theorem to all nef and big real (1,1) classes on compact complex manifolds, which also gives an analytic proof of Nakamaye's original result. I will also mention some consequences of this theorem, and some recent further developments. This is joint work with Tristan Collins.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/5285