Zariski Geometries working seminar

Matthew Harrison-Trainor, Pure Mathematics Department University of Waterloo

“One dimensional Zariski geometries”

We will introduce three axioms on a Noetherian topological structure which, together with the Krull dimension, are sufficient to make the topological structure a one-dimensional presmooth Zariski structure. We will show that such a structure has quantifier elimination, and satisfies the addition formula AF if the fibre condition FC holds.