6. Toroidal embeddings(19.05.15).

Aim of the talk: Introduce toroidal embeddings and their stratification.

Details: Recall the definition of the completion of a local ring along its maximal ideal, see e.g. [Eis95, p. 183]. Then state [Har77, I, Thm 5.5A] and [Har77, I, Def on p.34] and explain [Har77, I, Example 5.6.1-5.6.3]. Then give Definition 1 in II, §1 and the following explanations in the two-dimensional case. Introduce the notions: stratification, stratum, ${\rm Star}$. Then state Proposition-Definition 2.

Philip