Finiteness theorem for Blow-Nash triviality of a family of Nash surfaces

Satoshi Koike (Hyogo University of Teacher Education)

Abstract

In a previous paper I proved a finiteness theorem for Blow-semialgebraic triviality of a family of Nash surfaces. Recently, I have shown a stronger result, finiteness for Blow-Nash triviality of the family under some additional assumption. In this talk I explain the meaning of the recent result, using some examples.