Analytic Sets
Birkhäuser-Verlag eBooks · 2005
In this chapter we give an introduction to analytic sets. Roughly speaking, analytic sets are sets whose elements are locally solutions of holomorphic systems of equations. We will introduce the notion of codimension of an analytic set and show that in most cases analytic sets are “thin enough” that holomorphic functions defined outside an analytic set can be extended across the analytic set.