8 citations · 10 across the 4 of their papers we have counts for
4 papers · 1 filter
Blow-Nash types of simple singularities
Goulwen Fichou
We address the question of the classification under blow-Nash equivalence of simple Nash function germs. We state that this classification coincides with the real analytic classifi…
Zeta functions and Blow-Nash equivalence
Goulwen Fichou
We propose a refinement of the notion of blow-Nash equivalence between Nash function germs, which is an analog in the Nash setting of the blow-analytic equivalence defined by T.-C.…
The corank is invariant under Blow-Nash equivalence
Goulwen Fichou
We address the following question, raised by T. Fukui. Is the corank an invariant of the blow-analytic equivalence between real analytic function germs? We give a partial positive…
Motivic invariants of Arc-Symmetric sets and Blow-Nash Equivalence
Goulwen Fichou
We define invariants of the blow-Nash equivalence of real analytic function germs, in a similar way that the motivic zeta functions of Denef & Loeser. As a key ingredient, we exten…