Abstract
In this chapter we introduce the symbolic defect of a homogeneous ideal. This concept was introduced recently by Galetto, Geramita, Shin, and Van Tuyl. There are a number of interesting questions one can ask about this invariant, and hopefully this chapter will inspire you to investigate the symbolic defect of your favourite family of homogeneous ideals. Throughout this lecture, we will assume that \(R = \mathbb {K}[x_1,\ldots ,x_n]\) is a polynomial ring over an algebraically closed field of characteristic zero, and I will be a homogeneous ideal of R.
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