Mixed functions are analytic functions in variables z1,..., zn and their conjugates z1,..., zn.
We introduce the notion of Newton non-degeneracy for mixed functions and develop a basic …

This book has been awarded the Ferran Sunyer i Balaguer 2005 prize. The aim of this book
is to give an overview of selected topics on the topology of real and complex isolated …

Milnor's fibration theorem is about the geometry and topology of real and complex analytic
maps near their critical points, a ubiquitous theme in mathematics. As such, after 50 years …

In this article we extend Milnor's fibration theorem to the case of functions of the form f_ ̄ g
with f, g holomorphic, defined on a complex analytic (possibly singular) germ (X, 0). We …

We introduce the theory of geometric monodromies in various situations, focusing on its
relations with toric geometry and motivic Milnor fibers, and moreover in the modern …

In the 70's Igusa developed a uniform theory for local zeta functions and oscillatory integrals
attached to polynomials with coefficients in a local field of characteristic zero. In the present …

We give a necessary condition for a meromorphic function in several variables to give rise to
a Milnor fibration of the local link (respectively of the link at infinity). In the case of two …

By using sheaf-theoretical methods such as constructible sheaves, we generalize the
formula of Libgober–Sperber concerning the zeta functions of monodromy at infinity of …

Based on the recent developments in the irregular Riemann-Hilbert correspondence for
holonomic D-modules and the Fourier-Sato transforms for enhanced ind-sheaves, we study …

Milnor fibrations of meromorphic functions Page 1 J. London Math. Soc. (2) 80 (2009) 311–325
Cо2009 London Mathematical Society doi:10.1112/jlms/jdp027 Milnor fibrations of meromorphic …