Description
Title: The Hoskin-Deligne formula for the co-length of a complete ideal in
2-dimensional regular local ring.
Abstract: We shall present a simple proof due to Vijay Kodiyalam.
This proof makes use of the fact that transform of a complete ideal
in a two-dimensional regular local ring R in a quadratic transform of R
is again complete. It also uses a structure theorem, due to Abhyankar,
of two-dimensional regular local rings birationally dominating R.