Motivic-type invariants of blow-analytic equivalence

Satoshi Koike; Adam Parusiński

Displaying similar documents to “Motivic-type invariants of blow-analytic equivalence”

Analytic continuation of multiple zeta-functions and their values at non-positive integers

Shigeki Akiyama, Shigeki Egami, Yoshio Tanigawa (2001)

Acta Arithmetica

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Constructing blow-analytic isomorphisms

Toshizumi Fukui, Tzee-Char Kuo, Laurentiu Paunescu (2001)

Annales de l’institut Fourier

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In this paper we construct non-trivial examples of isomorphisms and we obtain, via toric modifications, an inverse function theorem in this category. We also show that any analytic curve in $ℝ^{n}, n \geq 3$ , can be deformed via a rational blow- analytic isomorphism of $ℝ^{n}$ , to a smooth analytic arc.

Zeta functions and blow-Nash equivalence

Goulwen Fichou (2005)

Annales Polonici Mathematici

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We propose a refinement of the notion of blow-Nash equivalence between Nash function germs, which has been introduced in [2] as an analog in the Nash setting of the blow-analytic equivalence defined by T.-C. Kuo [13]. The new definition is more natural and geometric. Moreover, this equivalence relation still does not admit moduli for a Nash family of isolated singularities. But though the zeta functions constructed in [2] are no longer invariants for this new relation, thanks to a Denef...

Implicit function theorem for locally blow-analytic functions

Laurentiu Paunescu (2001)

Annales de l’institut Fourier

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In this paper we prove the implicit function theorem for , and as an interesting application of using blow-analytic homeomorphisms, we describe a very easy way to resolve singularities of analytic curves.

Multiple zeta values for coordinatewise limits at non-positive integers

Yoshitaka Sasaki (2009)

Acta Arithmetica

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Analytic curves in power series rings

Herwig Hauser, Gerd Müller (1990)

Compositio Mathematica

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Analytic functions in general analysis

Angus E. Taylor (1937)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On the singularities of multiple L-functions

Alexandru Zaharescu, Mohammad Zaki (2010)

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We investigate the singularities of a class of multiple L-functions considered by Akiyama and Ishikawa [2].