43 citations · 479 across the 57 of their papers we have counts for
57 papers
Tame deformations of highly singular function germs
Cezar Joiţa, Matteo Stockinger, Mihai Tibăr
We give analytic and algebraic conditions under which a deformation of real analytic functions with non-isolated singular locus is a deformation with fibre constancy.
Local linear Morsifications
Mihai Tibăr
The number of Morse points in a Morsification determines the topology of the Milnor fibre of a holomorphic function germ with isolated singularity. If has an arbitrary sing…
Morse numbers of complex polynomials
Laurenţiu Maxim, Mihai Tibăr
To a complex polynomial function with arbitrary singularities we associate the number of Morse points in a general linear Morsification . We produce computa…
Fibrations of tamely composable maps
Ying Chen, Cezar Joiţa, Mihai Tibăr
We study composed map germs with respect to their local fibrations. Under most general conditions, inspired by the tameness condition that was introduced recently, we prove the exi…
Global index of real polynomials
Gabriel E. Monsalve, Mihai Tibăr
We develop two methods for expressing the global index of the gradient of a 2 variable polynomial function : in terms of the atypical fibres of , and in terms of the clusters…
Morse numbers of function germs with isolated singularities
Laurentiu Maxim, Mihai Tibăr
A set of Morse numbers is associated to a holomorphic function germ with stratified isolated singularity, extending the classical Milnor number to the setting of a singular base sp…